# A Basis for the Graded Identities of the Pair (M2(K), gl2(K))

Koshlukov, Plamen; Krasilnikov, Alexei

Serdica Mathematical Journal (2012)

- Volume: 38, Issue: 1-3, page 497-506
- ISSN: 1310-6600

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topKoshlukov, Plamen, and Krasilnikov, Alexei. "A Basis for the Graded Identities of the Pair (M2(K), gl2(K))." Serdica Mathematical Journal 38.1-3 (2012): 497-506. <http://eudml.org/doc/288255>.

@article{Koshlukov2012,

abstract = {2010 Mathematics Subject Classification: 16R10, 17B01.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)).∗ Partially supported by CNPq (Grant 304003/2011-5) and FAPESP (Grant 2010/50347-9).
∗∗ Partially supported by CNPq, DPP/UnB and by CNPq-FAPDF PRONEX grant 2009/00091-0 (193.000.580/2009).},

author = {Koshlukov, Plamen, Krasilnikov, Alexei},

journal = {Serdica Mathematical Journal},

keywords = {Graded Identities; Weak Identities; Basis of Graded Identities},

language = {eng},

number = {1-3},

pages = {497-506},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {A Basis for the Graded Identities of the Pair (M2(K), gl2(K))},

url = {http://eudml.org/doc/288255},

volume = {38},

year = {2012},

}

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

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 38

IS - 1-3

SP - 497

EP - 506

AB - 2010 Mathematics Subject Classification: 16R10, 17B01.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)).∗ Partially supported by CNPq (Grant 304003/2011-5) and FAPESP (Grant 2010/50347-9).
∗∗ Partially supported by CNPq, DPP/UnB and by CNPq-FAPDF PRONEX grant 2009/00091-0 (193.000.580/2009).

LA - eng

KW - Graded Identities; Weak Identities; Basis of Graded Identities

UR - http://eudml.org/doc/288255

ER -

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