Titlebook: Women in Commutative Algebra; Proceedings of the 2 Claudia Miller,Janet Striuli,Emily E. Witt Book 2021 The Author(s) and the Association f

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Cardioversion

,Cohen–Macaulay Fiber Cones and Defining Ideal of Rees Algebras of Modules,ulay property of Rees algebras of modules. In this article we prove that the same technique can sometimes be used to investigate the Cohen–Macaulay property of fiber cones of modules and to study the defining ideal of Rees algebras. This is possible as long as the Rees algebra of a given module . is

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Pruritus

legislate

Canonical Resolutions over Koszul Algebras,al ideal over graded Koszul algebras. Our approach has the advantage of producing resolutions that are both more explicit and minimal compared to those previously discovered by Green and Martínez-Villa [.] or Martínez-Villa and Zacharia [.].

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Well Ordered Covers, Simplicial Bouquets, and Subadditivity of Betti Numbers of Square-Free Monomiasolution for the ideal, and have guaranteed nonvanishing Betti numbers in certain degrees. This paper is about square-free monomial ideals which have a well ordered cover. We consider the question of subadditivity of syzygies of square-free monomial ideals via complements in the lcm lattice of the i

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maverick

Projective Dimension of Hypergraphs,Specifically, we focus on the cases where the 1-skeleton of an associated hypergraph is either a string or a cycle. We investigate the impact on the projective dimension when higher dimensional edges are removed. We prove that the higher dimensional edge either has no effect on the projective dimens

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A Truncated Minimal Free Resolution of the Residue Field, homology algebra of the Koszul complex of the ring has trivial multiplications and trivial Massey operations. This is the origin of the notion of Golod rings. Using the Koszul complex components he also constructed a minimal free resolution of the residue field. In this article, we extend this cons