Abstract
Let A be a ring, E A and A M be right and left A-modules, respectively, and let E × M be the cartesian product of these modules. The tensor product E⊖ A M is the Abelian group F/H, where F is the free Z-module with basis indexed by E × M, and H is the subgroup of F generated by all elements of the form
where x, u ∈ E, y, v ∈ M, and a ∈ A.(We write E ⊖ M instead of E ⊖ A M if there is no doubt about A.) The image of (x, y) under a natural map E × M → E ⊖ M is denoted by x ⊖ y.
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© 1998 Springer Science+Business Media Dordrecht
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Tuganbaev, A.A. (1998). Flat modules and semiperfect rings. In: Semidistributive Modules and Rings. Mathematics and Its Applications, vol 449. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5086-6_6
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DOI: https://doi.org/10.1007/978-94-011-5086-6_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6136-0
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