A Basis for the Graded Identities of the Pair (M2(K), gl2(K))
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 497-506
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Let M2(K) be the algebra of 2×2 matrices over an infinite integral domain K. In this note we describe a basis for the Z2-graded identities of the pair (M2(K),gl2(K)).
Keywords:
Graded Identities, Weak Identities, Basis of Graded Identities
@article{SMJ2_2012_38_1-3_a22,
author = {Koshlukov, Plamen and Krasilnikov, Alexei},
title = {A {Basis} for the {Graded} {Identities} of the {Pair} {(M2(K),} {gl2(K))}},
journal = {Serdica Mathematical Journal},
pages = {497--506},
year = {2012},
volume = {38},
number = {1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a22/}
}
TY - JOUR AU - Koshlukov, Plamen AU - Krasilnikov, Alexei TI - A Basis for the Graded Identities of the Pair (M2(K), gl2(K)) JO - Serdica Mathematical Journal PY - 2012 SP - 497 EP - 506 VL - 38 IS - 1-3 UR - http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a22/ LA - en ID - SMJ2_2012_38_1-3_a22 ER -
Koshlukov, Plamen; Krasilnikov, Alexei. A Basis for the Graded Identities of the Pair (M2(K), gl2(K)). Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 497-506. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a22/