3 papers
math.GR2020
The mathematical work of K.S.S. Nambooripad
John Meakin, P. A. Azeef Muhammed, A. R. Rajan
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'…
math.GR2018
Cross-connection structure of concordant semigroups
P. A. Azeef Muhammed, P. G. Romeo, K. S. S. Nambooripad
Cross-connection theory provides the construction of a semigroup from its ideal structure using small categories. A concordant semigroup is an idempotent-connected abundant semigro…
math.GR2018
Inductive groupoids and cross-connections of regular semigroups
P. A. Azeef Muhammed, M. V. Volkov
There are two major structure theorems for an arbitrary regular semigroup using categories, both due to Nambooripad. The first construction using inductive groupoids departs from t…