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Rank r Solutions to the Matrix Equation XXT = 0 over a Field of Characteristic Two

โœ Scribed by John C. Perkins


Publisher
John Wiley and Sons
Year
1971
Tongue
English
Weight
377 KB
Volume
48
Category
Article
ISSN
0025-584X

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Basis of the Identities of the Matrix Al
โœ Plamen Koshlukov ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 171 KB

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