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math.AC2014
Ideal class groups of monoid algebras
Husney Parvez Sarwar
Let be an extension of commutative reduced rings and an extension of positive commutative cancellative torsion-free monoids. We prove that is subinteg…
math.AC2014
Serre dimension and Euler class group of overrings of polynomial rings
M. K. Keshari, Husney Parvez Sarwar
Let R be a commutative Noetherian ring of dimension d and B=R[X_1,\ldots,X_m,Y_1^{\pm 1},\ldots,Y_n^{\pm 1}] a Laurent polynomial ring over R. If A=B[Y,f^{-1}] for some f\in R[Y],…