Results 1 to 10 of about 74,402 (284)
Tensor products of f-algebras [PDF]
We construct the tensor product for f-algebras, including proving a universal property for it, and investigate how it preserves algebraic properties of the factors.
Gerard Buskes, A. W. Wickstead
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Tensor Product of Evolution Algebras [PDF]
AbstractThe 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 evolution algebra.
Yolanda Cabrera Casado +3 more
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Tame tensor products of algebras [PDF]
Summary: With the help of Galois coverings, we describe the tame tensor products \(A\otimes_KB\) of basic, connected, nonsimple, finite-dimensional algebras \(A\) and \(B\) over an algebraically closed field \(K\). In particular, the description of all tame group algebras \(AG\) of finite groups \(G\) over finite-dimensional algebras \(A\) is completed.
Zbigniew Leszczyński +1 more
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On Iterated Twisted Tensor Products of Algebras [PDF]
We introduce and study the definition, main properties and applications of iterated twisted tensor products of algebras, motivated by the problem of defining a suitable representative for the product of spaces in noncommutative geometry.
Brzeziński T. +9 more
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Tensor products of partial algebras [PDF]
In this paper we introduce the tensor product of partial algebras w.r.t. a quasi-primtive class of partial algebras, and we prove some of its main properties.
Monserrat, M. +2 more
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Tensor products of Leavitt path algebras [PDF]
We compute the Hochschild homology of Leavitt path algebras over a field $k$. As an application, we show that $L_2$ and $L_2\otimes L_2$ have different Hochschild homologies, and so they are not Morita equivalent; in particular they are not isomorphic. Similarly, $L_\infty$ and $L_\infty\otimes L_\infty$ are distinguished by their Hochschild homologies
Pere Ara, Guillermo Cortiñas⋆
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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
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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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Representations of a non-pointed Hopf algebra
In this paper, we construct all the indecomposable modules of a class of non-pointed Hopf algebras, which are quotient Hopf algebras of a class of prime Hopf algebras of GK-dimension one.
Ruifang Yang, Shilin Yang
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On Extendibility of Evolution Subalgebras Generated by Idempotents
In the present paper, we examined the extendibility of evolution subalgebras generated by idempotents of evolution algebras. The extendibility of the isomorphism of such subalgebras to the entire algebra was investigated.
Farrukh Mukhamedov, Izzat Qaralleh
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