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Identities with involution for the matrix algebra of order two in characteristicp

✍ Scribed by Jones Colombo; Plamen Koshlukov

Book ID
110679371
Publisher
The Hebrew University Magnes Press
Year
2005
Tongue
English
Weight
899 KB
Volume
146
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES

A Basis for the Graded Identities of the
A Basis for the Graded Identities of the Matrix Algebra of Order Two over a Finite Field of Characteristic p≠2
✍ Plamen Koshlukov; SΓ©rgio S. Azevedo πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 155 KB

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

Basis of the Identities of the Matrix Al
Basis of the Identities of the Matrix Algebra of Order Two over a Field of Characteristic p β‰  2
✍ Plamen Koshlukov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 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