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Tensor products of f-algebras [PDF]

open access: greenMediterranean Journal of Mathematics, 2016
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
openalex   +7 more sources

Tensor Product of Evolution Algebras [PDF]

open access: hybridMediterranean Journal of Mathematics, 2022
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
openalex   +7 more sources

Tame tensor products of algebras [PDF]

open access: hybridColloquium Mathematicum, 2003
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
openalex   +2 more sources

On Iterated Twisted Tensor Products of Algebras [PDF]

open access: yesInternational Journal of Mathematics, 2006
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
core   +6 more sources

Tensor products of partial algebras [PDF]

open access: yesPublicacions Matemàtiques, 1992
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
core   +7 more sources

Tensor products of Leavitt path algebras [PDF]

open access: greenProceedings of the American Mathematical Society, 2011
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⋆
openalex   +6 more sources

Bilinear cryptography using Lie algebras from p-groups [PDF]

open access: yesMathematics and Computational Sciences, 2021
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]

open access: yesMathematica Bohemica, 2020
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
doaj   +1 more source

Representations of a non-pointed Hopf algebra

open access: yesAIMS Mathematics, 2021
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
doaj   +1 more source

On Extendibility of Evolution Subalgebras Generated by Idempotents

open access: yesMathematics, 2023
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
doaj   +1 more source

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