On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0
Electronic research announcements of the American Mathematical Society, Tome 06 (2000), pp. 50-51
Cet article a éte moissonné depuis la source American Mathematical Society
In this paper we construct examples of $T$-spaces and $T$-ideals over a field of characteristic 2, which do not have the finite basis property.
@article{10_1090_S1079_6762_00_00080_9,
author = {Grishin, A.},
title = {On {non-Spechtianness} of the variety of associative rings that satisfy the identity \ensuremath{\mathit{x}}{\textthreesuperior}{\texttwosuperior}=0},
journal = {Electronic research announcements of the American Mathematical Society},
pages = {50--51},
year = {2000},
volume = {06},
doi = {10.1090/S1079-6762-00-00080-9},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-00-00080-9/}
}
TY - JOUR AU - Grishin, A. TI - On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0 JO - Electronic research announcements of the American Mathematical Society PY - 2000 SP - 50 EP - 51 VL - 06 UR - http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-00-00080-9/ DO - 10.1090/S1079-6762-00-00080-9 ID - 10_1090_S1079_6762_00_00080_9 ER -
%0 Journal Article %A Grishin, A. %T On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0 %J Electronic research announcements of the American Mathematical Society %D 2000 %P 50-51 %V 06 %U http://geodesic.mathdoc.fr/articles/10.1090/S1079-6762-00-00080-9/ %R 10.1090/S1079-6762-00-00080-9 %F 10_1090_S1079_6762_00_00080_9
Grishin, A. On non-Spechtianness of the variety of associative rings that satisfy the identity 𝑥³²=0. Electronic research announcements of the American Mathematical Society, Tome 06 (2000), pp. 50-51. doi: 10.1090/S1079-6762-00-00080-9
[1] Varieties of associative rings. I, II Algebra i Logika 1973
[2] Identities satisfied by a finite ring J. Algebra 1973 298 318
[3] Finite basability of identities of associative algebras Algebra i Logika 1987
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