Showing 2019Show all
3 papers · 1 filter
math.GR2019
Local subsemigroups and variants of some class of semigroups
Siji Michael, P. G. Romeo
For an element a in a semigroup S the local subsemigroup of S with respect to a is the subsemigroup aSa of S and the variant of S with respect to a is a semigroup with underlying s…
math.CT2019
Ideal categories of rings and ring of cones
Sreejamol P. R., P. G. Romeo
In this paper we describe the ideal category of a ring R as preadditive proper category. Further it is also shown that the cones in this category is a ring with appropriate additio…
math.RA2019
Directed Graphs of Cayley Functions
Lejo J. Manavalan, P. G. Romeo
In this paper we describe a condition under which a given function that commute with an idempotent function on an infinite set is a Cayley function using its functional digraph.