Pure-injectivity of Tensor Products of Modules
Mohammad Reza Pournaki, B. Torrecillas, M. Tousi, Siamak Yassemi
Abstract
Mohammad Reza Pournaki, B. Torrecillas, M. Tousi, Siamak Yassemi
Abstract
A classical question of Yoneda asks when the tensor product of two injective modules is injective. A complete answer to this question was given by Enochs and Jenda in 1991. In this paper the analogue question for pure-injective modules is studied.
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A classical question of Yoneda asks when the tensor product of two injective modules is injective. A complete answer to this question was given by Enochs and Jenda in 1991. In this paper the analogue question for pure-injective modules is studied.
Key concepts: Injective function, Tensor product, Mathematics, Pure mathematics, Injective module, Tensor product of modules, Tensor (intrinsic definition), Tensor product of algebras