Titlebook: Semigroups, Categories, and Partial Algebras; ICSAA 2019, Kochi, I P. G. Romeo,Mikhail V. Volkov,A. R. Rajan Conference proceedings 2021 Th

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2194-1009 .Valuable to students and researchers working in areas of seThis book is a collection of selected papers presented at the International Conference on Semigroups and Applications, held at the Cochin University of Science and Technology, India, from December 9–12, 2019. This book discusses the recent

insular

Ordering Orders and Quotient Rings,notion encompasses quotient rings constructed using various generalized inverses. On the other hand, such quotient rings can be viewed as Fountain–Gould quotient rings with respect to appropriate subsets. We also investigate the connection between partial order relations on a ring and on its ring of

ALTER

Vasodilation

Block-Groups and Hall Relations,s form a semigroup which is known to be a block-group, that is, a semigroup with at most one idempotent in each .-class and each .-class. Here we show that in a certain sense, the converse is true: every finite block-group divides a semigroup of Hall relations on a finite set.

thwart

Balanced Categories and the Biorder in Semigroups,y the idempotents of . by .. It is proved that . is a category with subobjects and images in which the inclusions are right split. It is also shown that certain properties of morphisms in . naturally correspond to abundance and regularity of the elements of .. Consequently, we introduce the concepts

Vulvodynia

Category of Principal Left Ideals of Normal Bands,o provide an alternate structure theory for regular semigroups different from the biordered set approach [.]. A normal band is a semigroup . satisfying . and . for all .. Normal bands are characterised as strong semilattice of rectangular bands. In this article, we characterise the category of princ

Perennial长期的

Quotients of the Booleanization of an Inverse Semigroup, universal .-to-join Booleanization of an inverse semigroup . as a weakly meet-preserving quotient of the universal Booleanization . and show that all such quotients of . arise via .-to-join representations. As an application, we provide groupoid models for the intermediate boundary quotients of the

mortgage

On the Structure of the Commuting Graph of Brandt Semigroups,wo distinct vertices ., . are adjacent if .. In the present paper, we study various graph theoretic properties of the commuting graph . of Brandt semigroup .. We obtain its diameter, clique number, chromatic number, independence number, and dominance number. For ., we show that . is neither Eulerian

裂口

The Mathematical Work of K. S. S. Nambooripad,ticular, we outline Nambooripad’s seminal contributions to the structure theory of regular semigroups via his theory of ., and also via his theory of .. We also provide information about outgrowths of his work in the algebraic theory of semigroups and its connections with several other fields of mat

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The Polycyclic Inverse Monoids and the Thompson Groups Revisited,hompson group . is the group of units of a Boolean inverse monoid . called the Cuntz inverse monoid. This inverse monoid is proved to be the tight completion of the polycyclic inverse monoid .. The étale topological groupoid associated with . under non-commutative stone duality is the usual groupoid