4 papers
On Isolated Gaps of Numerical Semigroups of embedding dimension two
Shubh N. Singh, Ranjan K. Ram
We explicitly describe all the isolated gaps of any numerical semigroup of embedding dimension two, and we give an exact formula for the number of isolated gaps of these numerical…
Semigroups of transformations whose characters belong to a given semigroup
Mosarof Sarkar, Shubh N. Singh
Let be a nonempty set and a partition of . Denote by the full transformation semigroup on , and the subsemig…
Semigroups of (linear) transformations whose restrictions belong to a given semigroup
Mosarof Sarkar, Shubh N. Singh
Let (resp. L(V)) be the semigroup of all transformations (resp. linear transformations) of a set (resp. vector space ). For a subset of and a subsemigroup $\m…
-Primitive Words in Submonoids
Shubh Narayan Singh, K. V. Krishna
This work considers a natural generalization of primitivity with respect to a language. Given a language , a nonempty word is said to be -primitive if is not a proper…