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Graded identities for tensor products of matrix (super)algebras over the Grassmann algebra

✍ Scribed by Onofrio Mario Di Vincenzo; Plamen Koshlukov; Ednei Aparecido Santulo Jr.

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
259 KB
Volume
432
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

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Let F be a field of characteristic zero and let E be the Grassmann algebra of an infinite dimensional F-vector space L. In this paper we study the Z 2 -graded polynomial identities of E with respect to any fixed Z 2 -grading such that L is an homogeneous subspace. We found explicit generators for th

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Let K be a finite field of characteristic p > 2, and let M 2 ðKÞ be the matrix algebra of order two over K. We describe up to a graded isomorphism the 2-gradings of M 2 ðKÞ. It turns out that there are only two nonisomorphic nontrivial such gradings. Furthermore, we exhibit finite bases of the grade