Regularity, Rees algebra, and Betti numbers of certain cover ideals
Sign Up to like & getrecommendations! Published in 2020 at "Archiv der Mathematik"
DOI: 10.1007/s00013-020-01486-9
Abstract: Let $$S={\textsf {k}}[X_1,\dots , X_n]$$ S = k [ X 1 , ⋯ , X n ] be a polynomial ring, where $${\textsf {k}}$$ k is a field. This article deals with the defining ideal… read more here.
Keywords: algebra betti; regularity rees; rees algebra; betti numbers ... See more keywords
An intrinsic definition of the Rees algebra of a module
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091516000547
Abstract: This paper concerns a generalization of the Rees algebra of ideals due to Eisenbud, Huneke and Ulrich that works for any finitely generated module over a noetherian ring. Their definition is in terms of maps… read more here.
Keywords: definition; algebra module; definition rees; intrinsic definition ... See more keywords
A characterization of the Arf property for quadratic quotients of the Rees algebra
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498820501273
Abstract: We provide a characterization of the Arf property in both the numerical duplication of a numerical semigroup and in a member of a family of quotients of the Rees algebra studied in [V. Barucci, M.… read more here.
Keywords: characterization arf; property quadratic; quotients rees; arf property ... See more keywords