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

Abstract

top
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).

How to cite

top

Koshlukov, 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.