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Absence of a finite basis of identities for free solvable algebras of step 2 of finite degree of freedom

✍ Scribed by V. V. Mironov


Publisher
SP MAIK Nauka/Interperiodica
Year
1988
Tongue
English
Weight
259 KB
Volume
43
Category
Article
ISSN
0001-4346

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A Basis for the Graded Identities of the
✍ 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