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- W1693274442 abstract "We consider associative algebras with involution over a field of characteristic zero. We proved that any algebra with involution satisfies the same identities with involution as the Grassmann envelope of some finite dimensional (Z/4Z)graded algebra with graded involution. As a consequence we obtain the positive solution of the Specht problem for identities with involution: any associative algebra with involution over a field of characteristic zero has a finite basis of identities with involution. These results are analogs of Kemer’s theorems for ordinary identities [21]. Similar results were proved also for associative algebras graded by a finite group in [1], and for abelian case in [26]." @default.
- W1693274442 created "2016-06-24" @default.
- W1693274442 creator A5078782729 @default.
- W1693274442 date "2014-10-08" @default.
- W1693274442 modified "2023-09-27" @default.
- W1693274442 title "Finite basis problem for identities with involution." @default.
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