Weak distributive laws and their role in free lattices
Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much st...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Reinhold, J. [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1995 |
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| Schlagwörter: |
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| Anmerkung: |
© Birkhäuser Verlag 1995 |
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| Übergeordnetes Werk: |
Enthalten in: Algebra universalis - Birkhäuser-Verlag, 1971, 33(1995), 2 vom: Juni, Seite 209-215 |
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| Übergeordnetes Werk: |
volume:33 ; year:1995 ; number:2 ; month:06 ; pages:209-215 |
| Links: |
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| DOI / URN: |
10.1007/BF01190933 |
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OLC2069281523 |
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10.1007/BF01190933 doi (DE-627)OLC2069281523 (DE-He213)BF01190933-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Reinhold, J. verfasserin aut Weak distributive laws and their role in free lattices 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1995 Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much stronger in the infinity case, entailing not only λ-continuity but staircase distributivity, a property that is inherited by sublattices. Finite Lattice Free Lattice Staircase Distributivity Enthalten in Algebra universalis Birkhäuser-Verlag, 1971 33(1995), 2 vom: Juni, Seite 209-215 (DE-627)129291129 (DE-600)120470-1 (DE-576)014472449 0002-5240 nnns volume:33 year:1995 number:2 month:06 pages:209-215 https://doi.org/10.1007/BF01190933 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4318 AR 33 1995 2 06 209-215 |
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10.1007/BF01190933 doi (DE-627)OLC2069281523 (DE-He213)BF01190933-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Reinhold, J. verfasserin aut Weak distributive laws and their role in free lattices 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1995 Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much stronger in the infinity case, entailing not only λ-continuity but staircase distributivity, a property that is inherited by sublattices. Finite Lattice Free Lattice Staircase Distributivity Enthalten in Algebra universalis Birkhäuser-Verlag, 1971 33(1995), 2 vom: Juni, Seite 209-215 (DE-627)129291129 (DE-600)120470-1 (DE-576)014472449 0002-5240 nnns volume:33 year:1995 number:2 month:06 pages:209-215 https://doi.org/10.1007/BF01190933 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4318 AR 33 1995 2 06 209-215 |
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10.1007/BF01190933 doi (DE-627)OLC2069281523 (DE-He213)BF01190933-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Reinhold, J. verfasserin aut Weak distributive laws and their role in free lattices 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1995 Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much stronger in the infinity case, entailing not only λ-continuity but staircase distributivity, a property that is inherited by sublattices. Finite Lattice Free Lattice Staircase Distributivity Enthalten in Algebra universalis Birkhäuser-Verlag, 1971 33(1995), 2 vom: Juni, Seite 209-215 (DE-627)129291129 (DE-600)120470-1 (DE-576)014472449 0002-5240 nnns volume:33 year:1995 number:2 month:06 pages:209-215 https://doi.org/10.1007/BF01190933 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4318 AR 33 1995 2 06 209-215 |
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10.1007/BF01190933 doi (DE-627)OLC2069281523 (DE-He213)BF01190933-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Reinhold, J. verfasserin aut Weak distributive laws and their role in free lattices 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1995 Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much stronger in the infinity case, entailing not only λ-continuity but staircase distributivity, a property that is inherited by sublattices. Finite Lattice Free Lattice Staircase Distributivity Enthalten in Algebra universalis Birkhäuser-Verlag, 1971 33(1995), 2 vom: Juni, Seite 209-215 (DE-627)129291129 (DE-600)120470-1 (DE-576)014472449 0002-5240 nnns volume:33 year:1995 number:2 month:06 pages:209-215 https://doi.org/10.1007/BF01190933 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4318 AR 33 1995 2 06 209-215 |
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10.1007/BF01190933 doi (DE-627)OLC2069281523 (DE-He213)BF01190933-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Reinhold, J. verfasserin aut Weak distributive laws and their role in free lattices 1995 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Birkhäuser Verlag 1995 Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much stronger in the infinity case, entailing not only λ-continuity but staircase distributivity, a property that is inherited by sublattices. Finite Lattice Free Lattice Staircase Distributivity Enthalten in Algebra universalis Birkhäuser-Verlag, 1971 33(1995), 2 vom: Juni, Seite 209-215 (DE-627)129291129 (DE-600)120470-1 (DE-576)014472449 0002-5240 nnns volume:33 year:1995 number:2 month:06 pages:209-215 https://doi.org/10.1007/BF01190933 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_21 GBV_ILN_24 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2006 GBV_ILN_2010 GBV_ILN_2088 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4318 AR 33 1995 2 06 209-215 |
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Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much stronger in the infinity case, entailing not only λ-continuity but staircase distributivity, a property that is inherited by sublattices. © Birkhäuser Verlag 1995 |
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Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much stronger in the infinity case, entailing not only λ-continuity but staircase distributivity, a property that is inherited by sublattices. © Birkhäuser Verlag 1995 |
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Abstract In this note we use concepts from Marcel Erné's work on weak distributive laws to show that free lattices have a property called *-distributivity. While this property, which is preserved by bounded epimorphisms, is equivalent to a λ-semidistributivity for finite lattices, it is much stronger in the infinity case, entailing not only λ-continuity but staircase distributivity, a property that is inherited by sublattices. © Birkhäuser Verlag 1995 |
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1803595682523643904 |
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