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math.AG2023
Cancellation and splitting of Symplectic modules in the critical range and Euler class group
Rakesh Pawar, Husney Parvez Sarwar
In this paper, we discuss the cancellation and splitting of the symplectic modules. The symplectic cancellation result presented here can be thought of as an analog of the Projecti…
math.AC2023
Efficient generation, unimodular element in a geometric subring of a polynomial ring
Sourjya Banerjee, Chandan Bhaumik, Husney Parvez Sarwar
Let be a commutative Noetherian ring of dimension . First, we define the "geometric subring" of a polynomial ring of dimension (the definition of geometric…
math.AC2023★ 2 cited
Existence of unimodular element in a projective module over symbolic Rees algebras
Chandan Bhaumik, Husney Parvez Sarwar
Let be a symbolic (or an extended symbolic) Rees algebra (need not be Noetherian) of dimension . Let be a finitely generated projective -module of rank . Th…