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Tensor Product of Evolution Algebras [PDF]
The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and only if every factor is an ...
Yolanda Cabrera Casado+3 more
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On the tensor product of 𝑊* algebras [PDF]
We develop the algebra underlying the reduction theory of von Neumann in the language and spirit of Sakai’s abstract W ∗ {W^ \ast } algebras, and using the maximum spectrum of an abelian von Neumann algebra rather than a measure-theoretic surrogate.
Bruce B. Renshaw
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A Tensor Product of Representations of Cuntz Algebras [PDF]
We introduce a nonsymmetric and associative tensor product among representations of Cuntz algebras by using embeddings. Since the tensor product of permutative representations is also a permutative representation, the decomposition of such a tensor ...
Katsunori Kawamura
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An extension of Kakutani’s theorem on infinite product measures to the tensor product of semifinite 𝑤*-algebras [PDF]
Suppose that (s a?1 is the (Ii)-incomplete direct product of (k): see [9], [12] or [1].) Given a normal state vi of 4 for each i E I, a normal state v of a?
Donald Bures
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A Non-abelian Tensor Product of Hom–Lie Algebras
Non-abelian tensor product of Hom–Lie algebras is constructed and studied. This tensor product is used to describe universal ($$\alpha $$α)-central extensions of Hom–Lie algebras and to establish a relation between cyclic and Milnor cyclic homologies of ...
José Manuel Casas+2 more
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On the tensor product of linear sites and Grothendieck categories [PDF]
We define a tensor product of linear sites, and a resulting tensor product of Grothendieck categories based upon their representations as categories of linear sheaves.
Wendy Lowen+2 more
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On Maximal Regular Ideals and Identities in the Tensor Product of Commutative Banach Algebras [PDF]
L. J. Lardy, John A. Lindberg
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Bilinear cryptography using Lie algebras from p-groups [PDF]
Pairings are particular bilinear maps, and they have been defined based on elliptic curves whichare abelian groups. In cryptography and security problems use these pairings. Mrabet et al. proposedpairings from a tensor product of groups in 2013.
Elaheh Khamseh
doaj +1 more source
Some module cohomological properties of Banach algebras [PDF]
We find some relations between module biprojectivity and module biflatness of Banach algebras $\mathcal A$ and $\mathcal B$ and their projective tensor product $\mathcal A \mathbin{\widehatøtimes}\mathcal B$.
Elham Ilka+2 more
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In this work, we recall some properties of tensor product of two algebras. Then, we study the so-called UU algebras. Our main result is to show that the tensor product of two UU algebras is again a UU algebra.
Maha Alsharif, A. Alghamdi
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