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Tensor product of gamma modules
Afrika Matematika, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rezaei, A. H., Davvaz, B.
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Tensor product of quaternion hilbert modules
Acta Applicandae Mathematicae, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Razon, Aharon, Horwitz, L. P.
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Pure-injectivity of Tensor Products of Modules
Algebra Colloquium, 2014A 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.
Pournaki, M. R. +3 more
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Tensor products of primitive modules
Archiv der Mathematik, 2001Let \(F\) be a field; let \(G_i\) be a group (\(i=1,2\)) and let \(V_i\) be an irreducible, primitive, finite-dimensional \(FG_i\)-module. Put \(G=G_1\times G_2\) and \(V=V_1\otimes_FV_2\). The main aim of this paper is to determine sufficient conditions for \(V\) to be primitive as a \(G\)-module. It turns out to be the case if \(V_1\) and \(V_2\) are
LUCCHINI, ANDREA, TAMBURINI M. C.
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Tensor products of tilting modules
Frontiers of Mathematics in China, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Meixiang, Chen, Qinghua
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On Constructivizibility of the Tensor Product of Modules
Siberian Mathematical Journal, 2002The author studies constructivizability of modules over constructive rings. The main result is that there exist constructive \(\mathbb Z\)-modules \(M\) and \(N\) whose tensor product \(M\otimes N\) has no constructivization. The author also studies constructive rings \(\langle A,\nu\rangle \) such that each \(A\)-module \(M\) with numbering \(\mu ...
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Tensor Product Realizations of Simple Torsion Free Modules
Canadian Journal of Mathematics, 2001AbstractLet be a finite dimensional simple Lie algebra over the complex numbers C. Fernando reduced the classification of infinite dimensional simple -modules with a finite dimensional weight space to determining the simple torsion free -modules for of type A or C.
Britten, D. J., Lemire, F. W.
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Tensor product and theories of modules
Journal of Symbolic Logic, 1999Modules over a ring R, when tensored with an (R, S)-bimodule, are converted to S-modules. Here I consider, from the standpoint of the model theory of modules, the effect of this operation. The primary motivation arises from questions concerning representation type of algebras and interpretability of modules, where such tensor functors play a key role ...
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