Results 41 to 50 of about 1,658 (196)

The Arens-Calderon theorem for commutative topological algebras

Extracta Mathematicae
A theorem of Arens and Calderon states that if A is a commutative Banach algebra with Jacobson radical Rad(A), and if a0 , . . . , an∈ A with a0 ∈ Rad(A) and a1 an invertible element of k A, then there exists y ∈ Rad(A) such that Σ ak yk = 0.
M. Weigt, I. Zarakas
doaj   +1 more source

Fuzzy Filter Spectrum of a BCK Algebra

International Journal of Mathematics and Mathematical Sciences, 2011
The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters.
Xiao Long Xin, Wei Ji, Xiu Juan Hua
doaj   +1 more source

Kinetic Contribution to the Arbitrary Order Odd Frequency Moments of the Dynamic Structure Factor

Contributions to Plasma Physics, EarlyView.
ABSTRACT An exact expression is derived for the kinetic contribution to the odd (arbitrary order) frequency moments of the dynamic structure factor via a finite summation that features averages of even (all lower orders) powers of the momentum over the exact momentum distribution.
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source

New Kind of Banach Algebra Via Proximit structure

Wasit Journal for Pure Sciences, 2023
This article introduces the concept of Banach proximit algebra and examines several results in this new context. We give new definitions for the terms "proximit algebra," "commutative proximit algebra," "identity proximit algebra," and "normed proximit ...
Dhuha Ebada, Boushra Y. Hussein
doaj   +1 more source

Inducing Coverings on Hilbert Schemes

Mathematische Nachrichten, EarlyView.
ABSTRACT We find an explicit geometric description of all coverings of Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ when Σ$\Sigma$ is a normal, complex, quasi‐projective surface with finite fundamental group. We then apply this construction to show that if Σ$\Sigma$ is an irreducible symplectic surface then Hilb2(Σ)$\operatorname{Hilb}^{2}(\Sigma)$ is an ...
Lucas Li Bassi, Filippo Papallo
wiley   +1 more source

Crossed Corner and Reduced Simplicial Commutative Algebras

Journal of New Theory, 2023
In this paper, we describe the crossed corner of commutative algebras and present the relation between the category of crossed corners of commutative algebras and the category of reduced simplicial commutative algebras with Moore complex of length 2.
Özgün Gürmen Alansal
doaj   +1 more source

A Linear Generalization of the Nearly Gorenstein Property, With Applications to Veronese Subalgebras

Mathematische Nachrichten, EarlyView.
ABSTRACT We study the nearly Gorenstein property for Veronese subalgebras of (semi‐)standard graded algebras. We introduce a condition (♮)$(\natural)$ for Cohen–Macaulay semi‐standard graded rings, motivated by the study of Ehrhart rings. We show that if a semi‐standard graded algebra R$ R$ satisfies (♮)$(\natural)$, then its Veronese subalgebras R(k)$
Sora Miyashita
wiley   +1 more source

T-IDEAL AND α-IDEAL OF BP-ALGEBRAS

Barekeng
This paper explores the characteristics of two distinct ideal types within BP-algebra, specifically T-ideal and -ideal. Initially, we elucidate the characteristics of the T-ideal in BP-algebra, establishing its connections with the perfect, normal, and ...
Sri Gemawati, Musraini M, Ayunda Putri, Rike Marjulisa, Elsi Fitria   +4 more
doaj   +1 more source

A Commutative Algebra for Oriented Matroids [PDF]

Discrete & Computational Geometry, 2002
Let \({\mathcal A}\) be an arrangement of hyperplanes in \({\mathbb R}^\ell\), with linear defining forms \(\{\phi_1,\dots,\phi_n\}\). In his work on cohomology of local systems, \textit{K. Aomoto} introduced the algebra \(AO({\mathcal A})\) of rational forms generated by \((\phi_{i_1}\cdots \phi_{i_k})^{-1}\) where \(\{i_1,\dots,i_k\}\) ranges over ...
openaire   +1 more source

Amenability Constants for Unconditional Sums of Banach Algebras

Mathematische Nachrichten, EarlyView.
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley   +1 more source