s-Sequences and Monomial Modules

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, ov...

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Autores principales:	Gioia Failla, Paola Lea Staglianó
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	symmetric algebra monomial modules Gröbner bases Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/0173f614d3d6483982562c90a8262116
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spelling	oai:doaj.org-article:0173f614d3d6483982562c90a82621162021-11-11T18:14:03Z<i>s</i>-Sequences and Monomial Modules10.3390/math92126592227-7390https://doaj.org/article/0173f614d3d6483982562c90a82621162021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2659https://doaj.org/toc/2227-7390In this paper we study a monomial module <i>M</i> generated by an <i>s</i>-sequence and the main algebraic and homological invariants of the symmetric algebra of <i>M</i>. We show that the first syzygy module of a finitely generated module <i>M</i>, over any commutative Noetherian ring with unit, has a specific initial module with respect to an admissible order, provided <i>M</i> is generated by an <i>s</i>-sequence. Significant examples complement the results.Gioia FaillaPaola Lea StaglianóMDPI AGarticlesymmetric algebramonomial modulesGröbner basesMathematicsQA1-939ENMathematics, Vol 9, Iss 2659, p 2659 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	symmetric algebra monomial modules Gröbner bases Mathematics QA1-939
spellingShingle	symmetric algebra monomial modules Gröbner bases Mathematics QA1-939 Gioia Failla Paola Lea Staglianó <i>s</i>-Sequences and Monomial Modules
description	In this paper we study a monomial module <i>M</i> generated by an <i>s</i>-sequence and the main algebraic and homological invariants of the symmetric algebra of <i>M</i>. We show that the first syzygy module of a finitely generated module <i>M</i>, over any commutative Noetherian ring with unit, has a specific initial module with respect to an admissible order, provided <i>M</i> is generated by an <i>s</i>-sequence. Significant examples complement the results.
format	article
author	Gioia Failla Paola Lea Staglianó
author_facet	Gioia Failla Paola Lea Staglianó
author_sort	Gioia Failla
title	<i>s</i>-Sequences and Monomial Modules
title_short	<i>s</i>-Sequences and Monomial Modules
title_full	<i>s</i>-Sequences and Monomial Modules
title_fullStr	<i>s</i>-Sequences and Monomial Modules
title_full_unstemmed	<i>s</i>-Sequences and Monomial Modules
title_sort	<i>s</i>-sequences and monomial modules
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0173f614d3d6483982562c90a8262116
work_keys_str_mv	AT gioiafailla isisequencesandmonomialmodules AT paolaleastagliano isisequencesandmonomialmodules
_version_	1718431861582069760

<i>s</i>-Sequences and Monomial Modules

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