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This article is devoted to showing the product theorem for Bowen's topological entropy.

Dynamical Systems · Mathematics 2013-05-08 Xiaoyao Zhou , Ercai Chen

We construct a tensor product on Freyd's universal abelian category attached to an additive tensor category or a tensor quiver and establish a universal property. This is used to give an alternative construction for the tensor product on…

Algebraic Geometry · Mathematics 2020-06-17 Luca Barbieri-Viale , Annette Huber , Mike Prest

The work starts a series of papers on topological radicals and their applications. Among other results we present a theory of radicals related to the joint tensor radius.

Functional Analysis · Mathematics 2012-08-23 Victor S. Shulman , Yuri V. Turovskii

Two successive generalizations of the usual tensor products are given. One can be constructed for arbitrary binary operations, and not only for semigroups, groups or vector spaces. The second one, still more general, is constructed for…

General Mathematics · Mathematics 2008-10-31 Elemer E Rosinger

This note aims to investigate the tensor product of two given Hilbert quasi *-algebras and its properties. The construction proposed in this note turns out to be again a Hilbert quasi *-algebra, thus interesting representability properties…

Functional Analysis · Mathematics 2020-02-20 Maria Stella Adamo

We modify the well-known tensor product of modules over a semiring, in order to treat modules over hyperrings, and, more generally, for bimodules (and bimagmas) over monoids. The tensor product of residue hypermodules is functorial. Special…

Rings and Algebras · Mathematics 2025-12-24 Louis H. Rowen

In a recent paper, the author defined an operation of tensor product for a large class of $2$-representations of $\mathcal{U}^{+}$, the positive half of the $2$-category associated to $\mathfrak{sl}_{2}$. In this paper, we prove that the…

Representation Theory · Mathematics 2024-01-08 Matthew McMillan

In this paper, the concept of Riemannian warped product submersion is generalized to the conformal case. We introduce the notion of conformal warped product submersion. It is a submersion between warped product manifolds that preserves…

Differential Geometry · Mathematics 2023-08-08 Harmandeep Kaur , Abhishek Pandey , Gauree Shanker

The purpose of the present paper is to lay the foundations for a systematic study of tensor products of operator systems. After giving an axiomatic definition of tensor products in this category, we examine in detail several particular…

Operator Algebras · Mathematics 2011-02-25 Ali S. Kavruk , Vern I. Paulsen , Ivan G. Todorov , Mark Tomforde

We introduce the main concepts and announce the main results in a theory of tensor products for module categories for a vertex operator algebra. This theory is being developed in a series of papers including hep-th 9309076 and hep-th…

High Energy Physics - Theory · Physics 2008-02-03 Yi-Zhi Huang , James Lepowsky

It is well-known that the tensor product of two bialgebras constitutes the binary product in the category of cocommutative bialgebras and morphisms of bialgebras between them. In this paper, we extend this result to triangular bialgebras…

Quantum Algebra · Mathematics 2026-05-27 Alessandro Ardizzoni , Andrea Sciandra

It is well-known that derived equivalences preserve tensor products and trivial extensions. We disprove both constructions for stable equivalences of Morita type.

Representation Theory · Mathematics 2014-09-08 Yuming Liu , Guodong Zhou , Alexander Zimmermann

We introduce and study, for a process P delivering edges on the Cartesian product of the vertex sets of a given set of graphs, the P-product of these graphs, thereby generalizing many types of product graph. Analogous to the notion of a…

Combinatorics · Mathematics 2017-02-10 Izak Broere , Johannes Heidema

In this paper, we define a semi-tensor product for third-order tensors. Based on this definition, we present a new type of tensor decomposition strategy and give the specific algorithm. This decomposition strategy actually generalizes the…

Numerical Analysis · Mathematics 2023-01-18 Zhuo-Ran Chen , Seak-Weng Vong , Ze-Jia Xie

We survey tensor products of lattices with zero and related constructions focused on two topics: amenable lattices and box products.

General Mathematics · Mathematics 2016-08-16 George Grätzer , Friedrich Wehrung

We introduce and extend the outer product and contractive product of tensors and matrices, and present some identities in terms of these products. We offer tensor expressions of derivatives of tensors, focus on the tensor forms of…

Classical Analysis and ODEs · Mathematics 2025-09-22 Yiran Xu , Guangbin Wang , Changqing Xu

An action of the $\mathfrak{sl}_2$-crystal category on graded/mixed (integral) category $\mathcal{O}$ `lifting' the usual tensor product is defined.

Representation Theory · Mathematics 2013-12-31 R. Virk

In this paper we study the tensor product of two $f$-algebras. We show that the Riesz Subspace generated by a subalgebra in an $f$-algebra is an algebra in order to prove that the Riesz tensor product of two $f$-algebras has a structure of…

Functional Analysis · Mathematics 2015-12-03 Youssef Azouzi , Mohamed Amine Ben Amor , Jamel Jaber

We show that the product of any number of sequentially pseudocompact topological spaces is still sequentially pseudocompact. The definition of sequential pseudocompactness can be given in (at least) two ways: we show their equivalence. Some…

General Topology · Mathematics 2016-04-19 Paolo Lipparini

Continuous frames and tensor products are important topics in theoretical physics. This paper combines those concepts. We derive fundamental properties of continuous frames for tensor product of Hilbert spaces. This includes, for example,…

Functional Analysis · Mathematics 2022-03-23 Peter Balazs , Nenad Teofanov