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Tensor Homological Minimal Algebras, Global Dimension of the Tensor Product of Algebras and of Generalized Weyl Algebras

Vladimir Bavula

چکیده

Let d be the left homological dimension or weak dimension. In the present paper we give for a large class of algebras the answer to the question: when the dimension of the tensor product of algebras is the sum of dimensions of the multiples, Tensor d-minimal algebras are introduced and it is proved that a large class of algebras are tensor d-minimal algebras.

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