s-Sequences and Monomial Modules

Autor: Gioia Failla, Paola Lea Staglianó
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics, Vol 9, Iss 21, p 2659 (2021)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math9212659
Popis: In this paper we study a monomial module M generated by an s-sequence and the main algebraic and homological invariants of the symmetric algebra of M. We show that the first syzygy module of a finitely generated module M, over any commutative Noetherian ring with unit, has a specific initial module with respect to an admissible order, provided M is generated by an s-sequence. Significant examples complement the results.
Databáze: Directory of Open Access Journals
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