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Tensor product of algebras over a field

Hassan Haghighi (), Massoud Tousi () and Siamak Yassemi ()
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Hassan Haghighi: K. N. Toosi University of Technology, Department of Mathematics
Massoud Tousi: Shahid Beheshti University G.C., Department of Mathematics
Siamak Yassemi: Institute for Research in Fundamental Sciences (IPM), School of Mathematics

A chapter in Commutative Algebra, 2011, pp 181-202 from Springer

Abstract: Abstract This review paper deals with tensor products of algebras over a field. Let k be a field and A, B be commutative k-algebras. We consider the following question: “Which properties of A and B are conveyed to the k-algebra A⊗ k B?”. This field is still developing and many contexts are yet to be explored. We will restrict the scope of the present survey, mainly, to special rings.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-6990-3_7

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DOI: 10.1007/978-1-4419-6990-3_7

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