Triple derivations and triple homomorphisms of perfect Lie superalgebras
In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring R. It is proved that, if the base ring contains \frac{1}{2}, L is a perfect Lie superalgebra with zero center, then every triple derivation of L is a derivation, and every triple...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhou, Jia [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: Indagationes mathematicae - Amsterdam : Elsevier, 1939, (2016) |
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| Übergeordnetes Werk: |
year:2016 |
| Links: |
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| DOI / URN: |
10.1016/j.indag.2016.11.012 |
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OLC198799244X |
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| 520 | |a In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring R. It is proved that, if the base ring contains \frac{1}{2}, L is a perfect Lie superalgebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der (L) is an inner derivation. Let L,~L^{'} be Lie superalgebras over a commutative ring R, the notion of triple homomorphism from L to L^{'} is introduced. We proved that, under certain assumptions, homomorphisms, anti-homomorphisms, and sums of homomorphisms and anti-homomorphisms are all triple homomorphisms. | ||
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10.1016/j.indag.2016.11.012 doi PQ20170501 (DE-627)OLC198799244X (DE-599)GBVOLC198799244X (PRQ)a1059-282bdd7b72cde2f59cf7cbd472297ca8b8997319dad5d7e6632bd2fd36f4dd9d0 (KEY)0067434620160000000000000000triplederivationsandtriplehomomorphismsofperfectli DE-627 ger DE-627 rakwb eng 510 DNB SA 5200 AVZ rvk Zhou, Jia verfasserin aut Triple derivations and triple homomorphisms of perfect Lie superalgebras 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring R. It is proved that, if the base ring contains \frac{1}{2}, L is a perfect Lie superalgebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der (L) is an inner derivation. Let L,~L^{'} be Lie superalgebras over a commutative ring R, the notion of triple homomorphism from L to L^{'} is introduced. We proved that, under certain assumptions, homomorphisms, anti-homomorphisms, and sums of homomorphisms and anti-homomorphisms are all triple homomorphisms. Rings and Algebras Mathematics Chen, Liangyun oth Ma, Yao oth Enthalten in Indagationes mathematicae Amsterdam : Elsevier, 1939 (2016) (DE-627)129547700 (DE-600)218604-4 (DE-576)014998904 0019-3577 nnns year:2016 http://dx.doi.org/10.1016/j.indag.2016.11.012 Volltext http://arxiv.org/abs/1406.1574 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5200 AR 2016 |
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10.1016/j.indag.2016.11.012 doi PQ20170501 (DE-627)OLC198799244X (DE-599)GBVOLC198799244X (PRQ)a1059-282bdd7b72cde2f59cf7cbd472297ca8b8997319dad5d7e6632bd2fd36f4dd9d0 (KEY)0067434620160000000000000000triplederivationsandtriplehomomorphismsofperfectli DE-627 ger DE-627 rakwb eng 510 DNB SA 5200 AVZ rvk Zhou, Jia verfasserin aut Triple derivations and triple homomorphisms of perfect Lie superalgebras 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring R. It is proved that, if the base ring contains \frac{1}{2}, L is a perfect Lie superalgebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der (L) is an inner derivation. Let L,~L^{'} be Lie superalgebras over a commutative ring R, the notion of triple homomorphism from L to L^{'} is introduced. We proved that, under certain assumptions, homomorphisms, anti-homomorphisms, and sums of homomorphisms and anti-homomorphisms are all triple homomorphisms. Rings and Algebras Mathematics Chen, Liangyun oth Ma, Yao oth Enthalten in Indagationes mathematicae Amsterdam : Elsevier, 1939 (2016) (DE-627)129547700 (DE-600)218604-4 (DE-576)014998904 0019-3577 nnns year:2016 http://dx.doi.org/10.1016/j.indag.2016.11.012 Volltext http://arxiv.org/abs/1406.1574 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 SA 5200 AR 2016 |
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| abstract |
In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring R. It is proved that, if the base ring contains \frac{1}{2}, L is a perfect Lie superalgebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der (L) is an inner derivation. Let L,~L^{'} be Lie superalgebras over a commutative ring R, the notion of triple homomorphism from L to L^{'} is introduced. We proved that, under certain assumptions, homomorphisms, anti-homomorphisms, and sums of homomorphisms and anti-homomorphisms are all triple homomorphisms. |
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In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring R. It is proved that, if the base ring contains \frac{1}{2}, L is a perfect Lie superalgebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der (L) is an inner derivation. Let L,~L^{'} be Lie superalgebras over a commutative ring R, the notion of triple homomorphism from L to L^{'} is introduced. We proved that, under certain assumptions, homomorphisms, anti-homomorphisms, and sums of homomorphisms and anti-homomorphisms are all triple homomorphisms. |
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In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring R. It is proved that, if the base ring contains \frac{1}{2}, L is a perfect Lie superalgebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der (L) is an inner derivation. Let L,~L^{'} be Lie superalgebras over a commutative ring R, the notion of triple homomorphism from L to L^{'} is introduced. We proved that, under certain assumptions, homomorphisms, anti-homomorphisms, and sums of homomorphisms and anti-homomorphisms are all triple homomorphisms. |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a2200265 4500</leader><controlfield tag="001">OLC198799244X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230715020402.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">170207s2016 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.indag.2016.11.012</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">PQ20170501</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC198799244X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)GBVOLC198799244X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(PRQ)a1059-282bdd7b72cde2f59cf7cbd472297ca8b8997319dad5d7e6632bd2fd36f4dd9d0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(KEY)0067434620160000000000000000triplederivationsandtriplehomomorphismsofperfectli</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="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DNB</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SA 5200</subfield><subfield code="q">AVZ</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zhou, Jia</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Triple derivations and triple homomorphisms of perfect Lie superalgebras</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016</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">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring R. It is proved that, if the base ring contains \frac{1}{2}, L is a perfect Lie superalgebra with zero center, then every triple derivation of L is a derivation, and every triple derivation of the derivation algebra Der (L) is an inner derivation. Let L,~L^{'} be Lie superalgebras over a commutative ring R, the notion of triple homomorphism from L to L^{'} is introduced. We proved that, under certain assumptions, homomorphisms, anti-homomorphisms, and sums of homomorphisms and anti-homomorphisms are all triple homomorphisms.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Rings and Algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Chen, Liangyun</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ma, Yao</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Indagationes mathematicae</subfield><subfield code="d">Amsterdam : Elsevier, 1939</subfield><subfield code="g">(2016)</subfield><subfield code="w">(DE-627)129547700</subfield><subfield code="w">(DE-600)218604-4</subfield><subfield code="w">(DE-576)014998904</subfield><subfield code="x">0019-3577</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">year:2016</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">http://dx.doi.org/10.1016/j.indag.2016.11.012</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="u">http://arxiv.org/abs/1406.1574</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_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="936" ind1="r" ind2="v"><subfield code="a">SA 5200</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="j">2016</subfield></datafield></record></collection>
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