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Canadian Mathematical Bulletin, 1972
Relatively little is known about the ideal structure of A⊗RA' when A and A' are R-algebras. In [4, p. 460], Curtis and Reiner gave conditions that imply certain tensor products are semi-simple with minimum condition. Herstein considered when the tensor product has zero Jacobson radical in [6, p. 43]. Jacobson [7, p. 114] studied tensor products with no
Magarian, E. A., Mott, J. L.
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Relatively little is known about the ideal structure of A⊗RA' when A and A' are R-algebras. In [4, p. 460], Curtis and Reiner gave conditions that imply certain tensor products are semi-simple with minimum condition. Herstein considered when the tensor product has zero Jacobson radical in [6, p. 43]. Jacobson [7, p. 114] studied tensor products with no
Magarian, E. A., Mott, J. L.
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Mathematical Journal of Okayama University, 1997
From the preliminaries: ``In this note we introduce a new tensor product functor in the category of complexes. We show that this tensor product is left adjoint to the Hom-functor properly modified. With this tensor product we study flat complexes, pure exact sequences of complexes, pure injective complexes and give a complete description of flat pure ...
Enochs, Edgar E., Rozas, J.R. Garcia
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From the preliminaries: ``In this note we introduce a new tensor product functor in the category of complexes. We show that this tensor product is left adjoint to the Hom-functor properly modified. With this tensor product we study flat complexes, pure exact sequences of complexes, pure injective complexes and give a complete description of flat pure ...
Enochs, Edgar E., Rozas, J.R. Garcia
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Smooth Tensor Product for Tensor Completion
IEEE Transactions on Image ProcessingLow-rank tensor completion (LRTC) has shown promise in processing incomplete visual data, yet it often overlooks the inherent local smooth structures in images and videos. Recent advances in LRTC, integrating total variation regularization to capitalize on the local smoothness, have yielded notable improvements.
Tongle Wu, Jicong Fan 0001
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Tensor Products of Representations
American Journal of Mathematics, 1987Let G be a connected reductive algebraic group of characteristic zero. Let B be a Borel subgroup of G. If \(\Psi\) is a dominant character of B then there is a corresponding irreducible representation \(V_ G(\Psi)\) of G on the space of global sections \(\Gamma\) (G/B,L(\(\Psi)\)) of the line bundle L(\(\Psi)\) on G/B corresponding to \(\Psi\).
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Ukrainian Mathematical Journal, 2017
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Acta Mathematica Hungarica, 2002
In J. Algebra 221, 315--344 (1999; Zbl 0961.06005), the first author and \textit{F. Wehrung} introduced the lattice tensor product \(A\boxtimes B\) for lattices \(A\) and \(B\). Then the authors [in Part I of this series of papers in Acta Math. Hung. 95, 261--279 (2002; Zbl 0997.06002)] showed that if \(A\) is finite and \(B\) is bounded, then members ...
Grätzer, G., Greenberg, M.
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In J. Algebra 221, 315--344 (1999; Zbl 0961.06005), the first author and \textit{F. Wehrung} introduced the lattice tensor product \(A\boxtimes B\) for lattices \(A\) and \(B\). Then the authors [in Part I of this series of papers in Acta Math. Hung. 95, 261--279 (2002; Zbl 0997.06002)] showed that if \(A\) is finite and \(B\) is bounded, then members ...
Grätzer, G., Greenberg, M.
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CONNECTIVITY OF TENSOR PRODUCT OF GRAPHS
Discrete Mathematics, Algorithms and Applications, 2013In this paper, we determine the connectivity of G × Kr0,r1,…,rn-1, where × denotes the tensor product of graphs and Kr0,r1,…,rn-1 denotes the complete n-partite graph with [Formula: see text], and n ≥ 3. The main result of this paper deduces the main result of the paper appeared in Discrete Math. 311 (2011) 2563–2565 as a corollary.
P. Paulraja, V. Sheeba Agnes
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ON THE TENSOR PRODUCTS OF JC-ALGEBRAS
The Quarterly Journal of Mathematics, 1994AbstractIn this article we introduce and develop a theory of tensor products of JW-algebras. Since JW-algebras are so close to W*-algebras, one can expect that the W*-algebra tensor product theory will be actively involved. It is shown that if Mand N are JW-algebras with centres Z1 and Z2 respectively, then Z1 ⊗ Z2 is not the centre of the JW-tensor ...
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2002
Having considered bilinear maps, we now come to multilinear maps and basic theorems concerning their structure. There is a universal module representing multilinear maps, called the tensor product. We derive its basic properties, and postpone to Chapter XIX the special case of alternating products.
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Having considered bilinear maps, we now come to multilinear maps and basic theorems concerning their structure. There is a universal module representing multilinear maps, called the tensor product. We derive its basic properties, and postpone to Chapter XIX the special case of alternating products.
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