Results 191 to 200 of about 3,136 (233)

The Algebra of Topology

Annals of Mathematics, 1944
J C C Mckinsey, Alfred Tarski
exaly   +3 more sources

Topologically Algebraic Algebras

Mediterranean Journal of Mathematics, 2004
Let \(A\) be a complex topological algebra and \(H(\mathbb{C})\) the algebra of all complex-valued entire functions. An element \(x\) in \(A\) is said to be topologically algebraic if all entire functions operate in \(A\) at the point \(x\) and if there exists a nonzero entire function \(f\) in \(H(\mathbb{C})\) such that \(f(x)=0\).
Choukri, Rachid, Attioui, Abdelbaki
openaire   +1 more source

HYPERGROUP ALGEBRAS AS TOPOLOGICAL ALGEBRAS

Bulletin of the Australian Mathematical Society, 2014
AbstractLet$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}K$be a locally compact hypergroup endowed with a left Haar measure and let$L^1(K)$be the usual Lebesgue space of$K$with respect ...
Maghsoudi, S., Seoane-Sepúlveda, J. B.
openaire   +2 more sources

On the Topologically Invertible Elements of a Topological Algebra

Mathematical Proceedings of the Royal Irish Academy, 2007
Let \(A\) be a real or complex topological unital algebra with jointly continuous multiplication and \({\mathfrak M}(A)\) the set of all nontrivial continuous multiplicative linear functionals on \(A\). It is said that \(A\) has the quasi-Wiener property if \({\mathfrak M}(A)\) is not empty and from \(a\in A\) and \(f(a)\neq 0\) for each \(f\in ...
Arizmendi-Peimbert, Hugo, Carrillo-Hoyo, Angel   +1 more
openaire   +1 more source

Stable Algebraic Topology and Stable Topological Algebra

Bulletin of the London Mathematical Society, 1998
The article is essentially the text of a lecture held at the London Mathematical Society. The author gives an overview of the history of stable algebraic topology since the early 1960's.
openaire   +2 more sources

Topology on BL-algebras

Fuzzy Sets and Systems, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Omid Zahiri, Rajab Ali Borzooei
openaire   +1 more source

Filter topologies and topological MV-algebras

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Luan, Hans Weber 0002, Yichuan Yang
openaire   +1 more source

On topological BCI-algebras

Information Sciences, 1999
Topological BCI-algebras are characterized in terms of neighborhoods. It is proved that a topological BCI-algebra is Hausdorff iff \(\{0\}\) is closed. A filter base generating a BCI-topology is described.
Young Bae Jun, Xiao Long Xin 0001, Dong Soo Lee   +2 more
openaire   +1 more source

A Theorem in Algebraic Topology

The Annals of Mathematics, 1948
1. The terminology and notations used in this paper are taken from Lefschetz's "Algebraic Topology".' This book will be referred to by the abbreviated title "L.A.T.", and will be used as the authority for such known results as are quoted in the course of the argument. The chief of these known results is the Alexander duality theorem, which is stated in
openaire   +1 more source

On topological basic algebras

Journal of Intelligent & Fuzzy Systems, 2019
In this paper, the notions of (semi) topological basic algebra and (semi) topological implication basic algebra are introduced, along with evaluating their properties. Then, different operations are defined based on basic algebras and the relationship between semicontinuity and continuity of operations is considered.
S. M. Ghasemi Nejad, Rajab Ali Borzooei
openaire   +1 more source