Results 121 to 130 of about 178 (139)

Monoidal Topology

2014
Monoidal Topology describes an active research area that, after various past proposals on how to axiomatize 'spaces' in terms of convergence, began to emerge at the beginning of the millennium. It combines Barr's relational presentation of topological spaces in terms of ultrafilter convergence with Lawvere's interpretation of metric spaces as small ...
openaire   +1 more source

Topological Hopf Algebras and Braided Monoidal Categories

Applied Categorical Structures, 1998
Let \({\mathcal C}\) be a small monoidal category, \(K\) a Dedekind domain. The author first notes that any exact faithful monoidal functor from \({\mathcal C}\) to the category of finite rank projective \(K\)-modules factors through a functor from \({\mathcal C}\) to the category of continuous modules over a topological \(K\)-bialgebra \(A\).
openaire   +1 more source

Characterization of a category for monoidal topology

Algebra universalis, 2015
This paper presents a characterization of the category of preordered sets and monotone maps that is similar to that of the category of topological spaces and continuous maps in terms of the Sierpinski object (Theorem 2.10), then the author lifts the characterization to the quantale-valued setting (Theorem 5.10).
openaire   +2 more sources

D'Alembert's functional equation on topological monoids

Publicationes Mathematicae Debrecen, 2009
The author proves that, if \(f\) is a continuous complex-valued function on the topological monoid \(M\) with neutral element \(e\) satisfying the functional equation \[ f(xyz)+f(xzy)=2f(x)f(yz)+2f(y)f(zx)+2f(z)f(xy)-4f(x)f(y)f(z) \] and \(f(e)=1\), then there is a continuous homomorphism \(h:M\rightarrow \text{Mat}_{2}\left(\mathbb{C}\right)\), the ...
openaire   +2 more sources

A characterization of weakly Krull monoid algebras

Journal of Algebra, 2022
VÍCTOR Fadinger, Daniel Windisch
exaly  

On the Analysis and Computation of Topological Fuzzy Measure in Distributed Monoid Spaces

Symmetry, 2019
Susmit Bagchi
exaly  

Analysis of Topological Endomorphism of Fuzzy Measure in Hausdorff Distributed Monoid Spaces

Symmetry, 2019
Susmit Bagchi
exaly  

Fuzzy Automata Based on Lattice-ordered Monoid with Algebraic and Topological Aspects

Fuzzy Information and Engineering, 2012
Shambhu Sharan
exaly  

Monoid extensions admitting cocycles

Semigroup Forum, 2002
Terje Sund
exaly  

A Presentation of the Singular Part of the Symmetric Inverse Monoid#

Communications in Algebra, 2006
James East
exaly