Some Results about Projective Modules over Monoid Algebras

DOI10.1080/00927872.2015.1044108zbMath1348.13017OpenAlexW2342766583MaRDI QIDQ2813661

Husney Parvez Sarwar

Publication date: 24 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1044108

zbMATH Keywords

projective modulessplittingmonoid algebras

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Grothendieck groups, (K)-theory and commutative rings (13D15) Stability for projective modules (19A13)

Related Items (3)

Serre dimension of monoid algebras ⋮ \(K_0\)-stability over monoid algebras ⋮ Existence of unimodular element in a projective module over symbolic Rees algebras

Cites Work

• Projective modules over some polynomial rings
• Serre's problem for one-dimensional ground rings
• Pic is a contracted functor
• Pic\(R[X, X^{-1}\) for \(R\) a one-dimensional reduced Noetherian ring]
• Projective modules over subrings of \(k[x,y\) generated by monomials]
• Cancellation properties of projective modules over Laurent polynomial rings
• Unimodular elements in projective modules
• Grothendieck groups and Picard groups of abelian group rings
• Projective modules over a class of polynomial rings
• \(K\)-theory and stable algebra
• The Conjectures of Eisenbud and Evans
• ANDERSON'S CONJECTURE AND THE MAXIMAL MONOID CLASS OVER WHICH PROJECTIVE MODULES ARE FREE
• A Question of H. Bass on the Cancellative Nature of Large Projective Modules Over Polynomial Rings
• On seminormality

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