Structures of compactly generated lattices described by cut sets of L-valued sets
Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions whi...
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Gespeichert in:
| Autor*in: |
Zuo, Kai [verfasserIn] Wang, Xue-ping [verfasserIn] Zhang, Xiaohong [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Soft Computing - Springer-Verlag, 2003, 23(2018), 12 vom: 02. Juni, Seite 3913-3920 |
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| Übergeordnetes Werk: |
volume:23 ; year:2018 ; number:12 ; day:02 ; month:06 ; pages:3913-3920 |
| Links: |
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| DOI / URN: |
10.1007/s00500-018-3275-x |
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| 520 | |a Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. | ||
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| 650 | 4 | |a Modular lattice |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Semimodular lattice |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Lower semimodular lattice |7 (dpeaa)DE-He213 | |
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10.1007/s00500-018-3275-x doi (DE-627)SPR006503772 (SPR)s00500-018-3275-x-e DE-627 ger DE-627 rakwb eng Zuo, Kai verfasserin aut Structures of compactly generated lattices described by cut sets of L-valued sets 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. -valued set (dpeaa)DE-He213 Cut set (dpeaa)DE-He213 Compactly generated lattice (dpeaa)DE-He213 Distributive lattice (dpeaa)DE-He213 Modular lattice (dpeaa)DE-He213 Semimodular lattice (dpeaa)DE-He213 Lower semimodular lattice (dpeaa)DE-He213 Wang, Xue-ping verfasserin aut Zhang, Xiaohong verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 12 vom: 02. Juni, Seite 3913-3920 (DE-627)SPR006469531 nnns volume:23 year:2018 number:12 day:02 month:06 pages:3913-3920 https://dx.doi.org/10.1007/s00500-018-3275-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 12 02 06 3913-3920 |
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10.1007/s00500-018-3275-x doi (DE-627)SPR006503772 (SPR)s00500-018-3275-x-e DE-627 ger DE-627 rakwb eng Zuo, Kai verfasserin aut Structures of compactly generated lattices described by cut sets of L-valued sets 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. -valued set (dpeaa)DE-He213 Cut set (dpeaa)DE-He213 Compactly generated lattice (dpeaa)DE-He213 Distributive lattice (dpeaa)DE-He213 Modular lattice (dpeaa)DE-He213 Semimodular lattice (dpeaa)DE-He213 Lower semimodular lattice (dpeaa)DE-He213 Wang, Xue-ping verfasserin aut Zhang, Xiaohong verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 12 vom: 02. Juni, Seite 3913-3920 (DE-627)SPR006469531 nnns volume:23 year:2018 number:12 day:02 month:06 pages:3913-3920 https://dx.doi.org/10.1007/s00500-018-3275-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 12 02 06 3913-3920 |
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10.1007/s00500-018-3275-x doi (DE-627)SPR006503772 (SPR)s00500-018-3275-x-e DE-627 ger DE-627 rakwb eng Zuo, Kai verfasserin aut Structures of compactly generated lattices described by cut sets of L-valued sets 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. -valued set (dpeaa)DE-He213 Cut set (dpeaa)DE-He213 Compactly generated lattice (dpeaa)DE-He213 Distributive lattice (dpeaa)DE-He213 Modular lattice (dpeaa)DE-He213 Semimodular lattice (dpeaa)DE-He213 Lower semimodular lattice (dpeaa)DE-He213 Wang, Xue-ping verfasserin aut Zhang, Xiaohong verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 12 vom: 02. Juni, Seite 3913-3920 (DE-627)SPR006469531 nnns volume:23 year:2018 number:12 day:02 month:06 pages:3913-3920 https://dx.doi.org/10.1007/s00500-018-3275-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 12 02 06 3913-3920 |
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10.1007/s00500-018-3275-x doi (DE-627)SPR006503772 (SPR)s00500-018-3275-x-e DE-627 ger DE-627 rakwb eng Zuo, Kai verfasserin aut Structures of compactly generated lattices described by cut sets of L-valued sets 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. -valued set (dpeaa)DE-He213 Cut set (dpeaa)DE-He213 Compactly generated lattice (dpeaa)DE-He213 Distributive lattice (dpeaa)DE-He213 Modular lattice (dpeaa)DE-He213 Semimodular lattice (dpeaa)DE-He213 Lower semimodular lattice (dpeaa)DE-He213 Wang, Xue-ping verfasserin aut Zhang, Xiaohong verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 12 vom: 02. Juni, Seite 3913-3920 (DE-627)SPR006469531 nnns volume:23 year:2018 number:12 day:02 month:06 pages:3913-3920 https://dx.doi.org/10.1007/s00500-018-3275-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 12 02 06 3913-3920 |
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10.1007/s00500-018-3275-x doi (DE-627)SPR006503772 (SPR)s00500-018-3275-x-e DE-627 ger DE-627 rakwb eng Zuo, Kai verfasserin aut Structures of compactly generated lattices described by cut sets of L-valued sets 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. -valued set (dpeaa)DE-He213 Cut set (dpeaa)DE-He213 Compactly generated lattice (dpeaa)DE-He213 Distributive lattice (dpeaa)DE-He213 Modular lattice (dpeaa)DE-He213 Semimodular lattice (dpeaa)DE-He213 Lower semimodular lattice (dpeaa)DE-He213 Wang, Xue-ping verfasserin aut Zhang, Xiaohong verfasserin aut Enthalten in Soft Computing Springer-Verlag, 2003 23(2018), 12 vom: 02. Juni, Seite 3913-3920 (DE-627)SPR006469531 nnns volume:23 year:2018 number:12 day:02 month:06 pages:3913-3920 https://dx.doi.org/10.1007/s00500-018-3275-x lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER AR 23 2018 12 02 06 3913-3920 |
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Structures of compactly generated lattices described by cut sets of L-valued sets -valued set (dpeaa)DE-He213 Cut set (dpeaa)DE-He213 Compactly generated lattice (dpeaa)DE-He213 Distributive lattice (dpeaa)DE-He213 Modular lattice (dpeaa)DE-He213 Semimodular lattice (dpeaa)DE-He213 Lower semimodular lattice (dpeaa)DE-He213 |
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Structures of compactly generated lattices described by cut sets of L-valued sets |
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Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. |
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Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. |
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Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">SPR006503772</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20201124002902.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">201005s2018 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s00500-018-3275-x</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)SPR006503772</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(SPR)s00500-018-3275-x-e</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zuo, Kai</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Structures of compactly generated lattices described by cut sets of L-valued sets</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2018</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper describes the distributivity, the modularity, the semimodularity and the lower semimodularity of compactly generated lattices from a view of cut sets of L-valued sets, respectively. Applying terms of cut sets of L-valued sets, it gives some sufficient and necessary conditions which can be used to determine whether a compactly generated lattice is distributive, modular, semimodular and lower semimodular, respectively.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">-valued set</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cut set</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Compactly generated lattice</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Distributive lattice</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Modular lattice</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Semimodular lattice</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lower semimodular lattice</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wang, Xue-ping</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Xiaohong</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Soft Computing</subfield><subfield code="d">Springer-Verlag, 2003</subfield><subfield code="g">23(2018), 12 vom: 02. Juni, Seite 3913-3920</subfield><subfield code="w">(DE-627)SPR006469531</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:23</subfield><subfield code="g">year:2018</subfield><subfield code="g">number:12</subfield><subfield code="g">day:02</subfield><subfield code="g">month:06</subfield><subfield code="g">pages:3913-3920</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s00500-018-3275-x</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">23</subfield><subfield code="j">2018</subfield><subfield code="e">12</subfield><subfield code="b">02</subfield><subfield code="c">06</subfield><subfield code="h">3913-3920</subfield></datafield></record></collection>
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