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Simis and packing properties of Alexander dual of connected ideals
Om Prakash Bhardwaj, Kanoy Kumar Das, Rutuja Sawant
In this article, we investigate when the ordinary and symbolic powers of the Alexander dual of connected ideals of graphs coincide, and provide a complete classification of all suc…
On licci squarefree monomial ideals
Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar
We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squa…
Projective monomial curves associated to numerical semigroups with multiplicity , width , and embedding dimension
Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar
Numerical semigroups with multiplicity , width , and embedding dimension are of the form $$S(e,m,n) = \langle \{e, e+1, \ldots, 2e-1\} \setminus \{e+m, e+n\} \rangle,…
Buchsbaumness of finite complement simplicial affine semigroups
Om Prakash Bhardwaj, Carmelo Cisto
In this article, we classify all Buchsbaum simplicial affine semigroups whose complement in their (integer) rational polyhedral cone is finite. We show that such a semigroup is Buc…
Symmetric generalized numerical semigroups in with embedding dimension
Om Prakash Bhardwaj, Carmelo Cisto
In this article, we classify all symmetric generalized numerical semigroups in of embedding dimension . Consequently, we show that in this case the property of…
Regularity of two classes of Cohen-Macaulay binomial edge ideals
Om Prakash Bhardwaj, Kamalesh Saha
Some recent investigations indicate that for the classification of Cohen-Macaulay binomial edge ideals, it suffices to consider biconnected graphs with some whiskers attached (in s…
On unboundedness of some invariants of -semigroups
Om Prakash Bhardwaj, Carmelo Cisto
In this article, we first prove that the type of an affine semigroup ring is equal to the number of maximal elements of the Apéry set with respect to the set of exponents of the mo…
Reduced type of certain numerical semigroup rings
Om Prakash Bhardwaj
For a reduced one-dimensional complete local -algebra , Huneke et al. (Res. Math. Sci., 8(4), paper no. 60, 2021) introduced an important invariant, the reduced type. In this…