Zobrazeno 1 - 10 of 13 pro vyhledávání: '"A. R. Kemer"'
2
On ideals of the group algebra of an infinite symmetric group over a field of characteristic p
Autor: A. R. Kemer
Publikováno v: Mathematical Notes. 92:375-382
We prove that any nonzero ideal of the group algebra of the infinite symmetric group over a field of nonzero characteristic contains skew-symmetric and symmetric elements of sufficiently large order. Using this result, we reduce the question of the c
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8839038a39b7db4ab5978a486ebb8d7d
https://doi.org/10.1134/s0001434612090106
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5
IDENTITIES OF FINITELY GENERATED ALGEBRAS OVER AN INFINITE FIELD
Autor: A R Kemer
Publikováno v: Mathematics of the USSR-Izvestiya. 37:69-96
It is proved that for each finitely generated associative PI-algebra U over an infinite field F, there is a finite-dimensional F-algebra C such that the ideals of identities of the algebras U and C coincide. This yields a positive solution to the loc
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::024267f1bcd5a96c11c8a8e6bda58b53
https://doi.org/10.1070/im1991v037n01abeh002053
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6
VARIETIES AND $ Z_2$-GRADED ALGEBRAS
Autor: A R Kemer
Publikováno v: Mathematics of the USSR-Izvestiya. 25:359-374
A structure theory of varieties of associative algebras over a field of characteristic zero is constructed. It is shown that any variety is a product of a nilpotent and a semiprime variety. The semiprime varieties are described. Bibliography: 10 titl
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9e70e4d52568f5450667643180acf17c
https://doi.org/10.1070/im1985v025n02abeh001285
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