s -Sequences and Monomial Modules

Gioia Failla and Paola Lea Staglianó
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Gioia Failla: Department DICEAM, University of Reggio Calabria, Loc. Feo di Vito, 89125 Reggio Calabria, Italy
Paola Lea Staglianó: Department DICEAM, University of Reggio Calabria, Loc. Feo di Vito, 89125 Reggio Calabria, Italy

Mathematics, 2021, vol. 9, issue 21, 1-12

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.

Keywords: symmetric algebra; monomial modules; Gröbner bases (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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