Results 1 to 10 of about 24,752 (265)

Tensor Products of f-algebras [PDF]

open access: yesMediterranean Journal of Mathematics, 2017
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.
A W Wickstead
exaly   +6 more sources

Multidimensional Arrays, Indices and Kronecker Products

open access: yesEconometrics, 2021
Much of the algebra that is associated with the Kronecker product of matrices has been rendered in the conventional notation of matrix algebra, which conceals the essential structures of the objects of the analysis.
D. Stephen G. Pollock
doaj   +1 more source

Realizing Mathematics of Arrays Operations as Custom Architecture Hardware-Software Co-Design Solutions

open access: yesInformation, 2022
In embedded electronic system applications being developed today, complex datasets are required to be obtained, processed, and communicated. These can be from various sources such as environmental sensors, still image cameras, and video cameras.
Ian Andrew Grout, Lenore Mullin
doaj   +1 more source

m-Isometric tensor products

open access: yesConcrete Operators, 2023
Given Banach space operators Si{S}_{i} and Ti{T}_{i}, i=1,2i=1,2, we use elementary properties of the left and right multiplication operators to prove, that if the tensor products pair (S1⊗S2,T1⊗T2)\left({S}_{1}\otimes {S}_{2},{T}_{1}\otimes {T}_{2}) is ...
Duggal Bhagawati Prashad, Kim In Hyoun
doaj   +1 more source

The dual of the space of bounded operators on a Banach space

open access: yesConcrete Operators, 2021
Given Banach spaces X and Y, we ask about the dual space of the 𝒧(X, Y). This paper surveys results on tensor products of Banach spaces with the main objective of describing the dual of spaces of bounded operators. In several cases and under a variety of
Botelho Fernanda, Fleming Richard J.
doaj   +1 more source

A new approach to tensor product of hypermodules [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2022
As an essential tool in homological algebra, tensor products play a basic role in classifying and studying modules. Since hypermodules are generalization of modules, it is important to generalize the concept of the tensor products of modules to the ...
Seyed Shahin Mousavi
doaj   +1 more source

The complexity of computing Kronecker coefficients [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2008
Kronecker coefficients are the multiplicities in the tensor product decomposition of two irreducible representations of the symmetric group $S_n$. They can also be interpreted as the coefficients of the expansion of the internal product of two Schur ...
Peter Bürgisser, Christian Ikenmeyer
doaj   +1 more source

Inverses and Determinants of n × n Block Matrices

open access: yesMathematics, 2023
Block matrices play an important role in all branches of pure and applied mathematics. In this paper, we study the two fundamental concepts: inverses and determinants of general n×n block matrices.
Müge Saadetoğlu, Şakir Mehmet Dinsev
doaj   +1 more source

Tensor Products and Bimorphisms [PDF]

open access: yesCanadian Mathematical Bulletin, 1976
The binary tensor product, for modules over a commutative ring, has two different aspects: its connection with universal bilinear maps and its adjointness to the internal hom-functor. Furthermore, in the special situation of finite-dimensional vector spaces, the tensor product can also be described in terms of dual spaces and the internal hom-functor ...
Banaschewski, Bernhard, Nelson, Evelyn
openaire   +2 more sources

The non-abelian tensor product of normal crossed submodules of groups [PDF]

open access: yesCategories and General Algebraic Structures with Applications, 2020
In this article, the notions of non-abelian tensor and exterior products of two normal crossed submodules of a given crossed module of groups are introduced and some of their basic properties are established.
Alireza Salemkar, Tahereh Fakhr Taha
doaj   +1 more source

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