Конструкция Херстейна для почти конечномерных супералгебр Full article
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Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304 |
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| Output data | Year: 2017, Volume: 14, Pages: 1317-1323 Pages count : 7 DOI: 10.17377/semi.2017.14.112 | ||||
| Tags | associative algebras, Jordan superalgebras, just infinite algebras, semiprime algebras | ||||
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Abstract:
The connections between semiprime associative Z2-graded algebras and Jordan superalgebras are studied. It is proved that if an adjoint Jordan superalgebra B(+)s to an associative noncommutative Z2-graded semiprime superalgebra B contains an ideal, consisted of odd elements, then the center of algebra B contains a nonzero ideal. Besides, this ideal annihilates every commutator of the algebra B. As a corollary we have that if a Z2-graded algebra B is just infinite then a Jordan superalgebra B(+)s is just infinite.
Cite:
Желябин В.Н.
, Панасенко А.С.
Конструкция Херстейна для почти конечномерных супералгебр
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2017. Т.14. С.1317-1323. DOI: 10.17377/semi.2017.14.112 WOS Scopus OpenAlex
Конструкция Херстейна для почти конечномерных супералгебр
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2017. Т.14. С.1317-1323. DOI: 10.17377/semi.2017.14.112 WOS Scopus OpenAlex
Dates:
| Submitted: | Oct 21, 2017 |
| Published print: | Dec 6, 2017 |
Identifiers:
| Web of science: | WOS:000454861900044 |
| Scopus: | 2-s2.0-85071655290 |
| OpenAlex: | W3203192357 |