10 citations · 24 across the 14 of their papers we have counts for
17 papers
A study of -number for some monomial ideals
Prativa Biswas, Mousumi Mandal
In this paper, we give formulas for -number of edge ideals of some graphs like path, cycle, 1-clique sum of a path and a cycle, 1-clique sum of two cycles and join of two graphs…
Symbolic Rees algebras and set-theoretic complete intersections
Clare D'Cruz, Mousumi Mandal, J. K. Verma
In this paper we extend a result of Cowsik on set-theoretic complete intersection and a result Huneke, Morales and Goto and Nishida about Noetherian symbolic Rees algebras of ideal…
Bounds for the reduction number of primary ideal in dimension three
Mousumi Mandal, Kumari Saloni
Let be a Cohen-Macaulay local ring of dimension and an -primary ideal of . Let be the reduction number of with respec…
Properties of symbolic powers of edge ideals of weighted oriented graphs
Mousumi Mandal, Dipak Kumar Pradhan
Let be a weighted oriented graph and be its edge ideal. We provide one method to find all the minimal generators of , where is a maximal strong…
Symbolic defects of edge ideals of unicyclic graphs
Mousumi Mandal, Dipak Kumar Pradhan
We introduce the concept of minimum edge cover for an induced subgraph in a graph. Let be a unicyclic graph with a unique odd cycle and be its edge ideal. We compute t…
Regularity of symbolic powers of certain graphs
Bidwan Chakraborty, Mousumi Mandal
Let denote the graph with vertices in cyclic order and for each vertex consider the set $A_i=\{x_{i-r},\ldots,x_{i-1},x_{i+1},x_{i+2},\ldot…