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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A Study on Cayley Graphs of Full Transformation Semigroups,important role in the theory of semigroups. The definition of Cayley graphs of groups was introduced by Arthur Cayley in 1878 and Cayley graphs of semigroups are generalizations of Cayley graphs of groups. In this paper, we study Cayley graphs of full transformation semigroups relative to Green’s equivalence .-Class.

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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.

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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 principal left ideals of a normal band.

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Category of Chain Bundles, in particular, the homsets includes sets of the form . and all possible composite of morphisms in .. The morphisms in this category are appropriate maps (functors) between objects of . called chain bundle maps.

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https://doi.org/10.1007/978-981-33-4842-4Leavitt path algebra; semigroups; automata; Markov chains; commutative rings; κ-terms; ICSAA 2019

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2194-1009 ed category and bundle category. This book will be of much value to researchers working in areas of semigroup and operator theory.978-981-33-4844-8978-981-33-4842-4Series ISSN 2194-1009 Series E-ISSN 2194-1017