The mathematical work of K.S.S. Nambooripad
John Meakin, P.A. Azeef Muhammed, A.R. Rajan
TL;DR
This paper reviews K.S.S. Nambooripad's significant contributions to regular semigroup theory, highlighting his theories of inductive groupoids and cross connections, and explores their influence on algebra and operator algebras.
Contribution
It provides a comprehensive overview of Nambooripad's work and its impact on the structure theory of regular semigroups and related mathematical fields.
Findings
Introduction of inductive groupoids for semigroup analysis
Development of the cross connections theory
Connections to operator algebra theory
Abstract
We provide an overview of the mathematical work of K.S.S. Nambooripad, with a focus on his contributions to the theory of regular semigroups. In particular, we outline Nambooripad's seminal contributions to the structure theory of regular semigroups via his theory of {\em inductive groupoids}, and also via his theory of {\em cross connections}. We also provide information about outgrowths of his work in the algebraic theory of semigroups and its connections with several other fields of mathematics, in particular with the theory of operator algebras.
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Taxonomy
Topicssemigroups and automata theory · Advanced Algebra and Logic · Geometric and Algebraic Topology