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.
S-sequences and monomial modules / Failla, G.; Stagliano, P. L.. - In: MATHEMATICS. - ISSN 2227-7390. - 9:21(2021), p. 2659. [10.3390/math9212659]
S-sequences and monomial modules
Failla G.
Writing – Original Draft Preparation
;
2021-01-01
Abstract
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.File in questo prodotto:
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