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- W2963028114 abstract "Let G be an abelian group and K an algebraically closed field of characteristic zero. A. Valenti and M. Zaicev described the G -gradings on upper block-triangular matrix algebras provided that G is finite. We prove that their result holds for any abelian group G : any grading is isomorphic to the tensor product A ⊗ B of an elementary grading A on an upper block-triangular matrix algebra and a division grading B on a matrix algebra. We then consider the question of whether graded identities A ⊗ B , where B is an algebra with a division grading, determine A ⊗ B up to graded isomorphism. In our main result, Theorem 3 , we reduce this question to the case of elementary gradings on upper block-triangular matrix algebras which was previously studied by O.M. Di Vincenzo and E. Spinelli." @default.
- W2963028114 created "2019-07-30" @default.
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- W2963028114 date "2019-04-01" @default.
- W2963028114 modified "2023-10-12" @default.
- W2963028114 title "Graded identities and isomorphisms on algebras of upper block-triangular matrices" @default.
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- W2963028114 doi "https://doi.org/10.1016/j.jalgebra.2018.12.019" @default.
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