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pro vyhledávání: '"Mandal, Mousumi"'
Autor:
Mandal, Mousumi, Priya, Shruti
Consider a Cohen-Macaulay local ring $(R,\mathfrak m)$ with dimension $d\geq 2$, and let $I \subseteq R$ be an $\mathfrak m$-primary ideal. Denote $r_{J}(I)$ as the reduction number of $I$ with respect to a minimal reduction $J$ of $I$, and $\rho(I)$
Externí odkaz:
http://arxiv.org/abs/2404.01684
Recently, Ficarra and Sgroi initiated the study of v-numbers of powers of graded ideals. They proved that for a graded ideal $I$ in a polynomial ring $S$, $\mathrm{v}(I^k)$ is a linear function in $k$ for $k>>0$. Later, Ficarra conjectured that if $I
Externí odkaz:
http://arxiv.org/abs/2402.16583
Autor:
Biswas, Prativa, Mandal, Mousumi
In this paper, we give formulas for $v$-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. For an $\mathfrak{m}$-primary monomial ideal $I\subset S=K[x_1,\ldot
Externí odkaz:
http://arxiv.org/abs/2308.08604
Autor:
Mandal, Mousumi, Priya, Shruti
Let $(R,\mathfrak m)$ be a Cohen-Macaulay local ring of dimension $d\geq 2$ and $I$ an $\mathfrak m$-primary ideal. Let rd$(I)$ be the reduction number of $I$ and n$(I)$ the postulation number. We prove that for $d=2,$ if n$(I)=\rho(I)-1,$ then rd$(I
Externí odkaz:
http://arxiv.org/abs/2307.01196
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 ideals. As applications, we show that the symbolic Rees algebras of the fol
Externí odkaz:
http://arxiv.org/abs/2210.05886
Autor:
Mandal, Mousumi, Saloni, Kumari
Let $(R,\mathfrak{m})$ be a Cohen-Macaulay local ring of dimension $d\geq 3$ and $I$ an $\mathfrak{m}$-primary ideal of $R$. Let $r_J(I)$ be the reduction number of $I$ with respect to a minimal reduction $J$ of $I$. Suppose depth $G(I)\geq d-3$. We
Externí odkaz:
http://arxiv.org/abs/2209.13319
Autor:
Mandal, Mousumi, Pradhan, Dipak Kumar
Let $D$ be a weighted oriented graph and $I(D)$ be its edge ideal. We provide one method to find all the minimal generators of $ I_{\subseteq C} $, where $ C $ is a maximal strong vertex cover of $D$ and $ I_{\subseteq C} $ is the intersections of ir
Externí odkaz:
http://arxiv.org/abs/2205.03765
Autor:
Mandal, Mousumi, Pradhan, Dipak Kumar
Publikováno v:
Journal of Algebra and Its Applications, 2022
We introduce the concept of minimum edge cover for an induced subgraph in a graph. Let $G$ be a unicyclic graph with a unique odd cycle and $I=I(G)$ be its edge ideal. We compute the exact values of all symbolic defects of $I$ using the concept of mi
Externí odkaz:
http://arxiv.org/abs/2204.05489
Autor:
Chakraborty, Bidwan, Mandal, Mousumi
Let $G_{n,r}$ denote the graph with $n$ vertices $\{x_1,\ldots,x_n\}$ in cyclic order and for each vertex $x_i$ consider the set $A_i=\{x_{i-r},\ldots,x_{i-1},x_{i+1},x_{i+2},\ldots, x_{i+r}\},$ where $x_{i-j}$ is the vertex $x_{n+i-j}$, whenever $i<
Externí odkaz:
http://arxiv.org/abs/2203.08572
Autor:
Mandal, Mousumi, Rakib, Ahmed, Mamun, Md Abdullah Al, Kumar, Santosh, Park, Frank, Hwang, Dong-Jin, Li, Wei, Miller, Duane D., Singh, Udai P.
Publikováno v:
In Biomedicine & Pharmacotherapy October 2024 179