Sequences that Preserve the Homological Degree
| Autor: | Cătălin Ciupercă, Joseph P. Brennan |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Discrete mathematics
Pure mathematics Algebra and Number Theory Mathematics::Commutative Algebra Degree (graph theory) Graded ring Mathematics::Algebraic Topology Associated prime Dimension (vector space) Mathematics::K-Theory and Homology Finitely-generated abelian group Element (category theory) Degree function Augmentation ideal Mathematics |
| Zdroj: | Communications in Algebra. 37:1647-1655 |
| ISSN: | 1532-4125 0092-7872 |
| DOI: | 10.1080/00927870802209995 |
| Popis: | The homological degree is a cohomological degree generalizing the classical degree function of a module. Given a finitely generated graded module M, over a standard graded ring A, this note is concerned with the question of when, for an element x in the augmentation ideal of A that is not in any associated prime of M other than the augmentation ideal itself, the homological degree of M is equal to the homological degree of M/xM. This question is answered when the dimension of M is one or two. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|