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Weak Polynomial Identities for the Matrix Algebra of Order Two

✍ Scribed by Plamen Koshlukov

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 194 KB
Volume: 188
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6850

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In this paper we prove that the polynomial identities of the matrix algebra of order 2 over an infinite field of characteristic p / 2 admit a finite basis. We exhibit a finite basis consisting of four identities, and in ''almost'' all cases for p we describe a minimal basis consisting of two identit