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math.AC2023
Join of affine semigroups
Joydip Saha, Indranath Sengupta, Pranjal Srivastava
In this paper, we study the class of affine semigroup generated by integral vectors, whose components are in generalised arithmetic progression and we observe that the defining ide…
math.AC2023
The -Number of Binomial Edge Ideals
Siddhi Balu Ambhore, Kamalesh Saha, Indranath Sengupta
The invariant -number was introduced very recently in the study of Reed-Muller-type codes. Jaramillo and Villarreal (J Combin. Theory Ser. A 177:105310, 2021) initiated…
math.AC2023
Affine semigroups of maximal projective dimension-II
Om Prakash Bhardwaj, Indranath Sengupta
If the Krull dimension of the semigroup ring is greater than one, then affine semigroups of maximal projective dimension () are not Cohen-Macaulay, but they may be Bu…