Varieties and algebraic algebras of bounded degree

[摘要] We study varieties of associative algebras over an infinite field. We prove that any variety is generated by an algebraic algebra of bounded degree over a commutative algebra and determine when it can be generated by an algebraic algebra over a field. We also give upper and lower bounds for the minimal algebraic degree of the algebra M-n(G). (C) 1998 Elsevier Science B.V. All rights reserved.

[发布日期] 1998-12-15

[效力级别]  Proceedings Paper