IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v9y2021i21p2659-d661288.html
   My bibliography  Save this article

s -Sequences and Monomial Modules

Author

Listed:
  • Gioia Failla

    (Department DICEAM, University of Reggio Calabria, Loc. Feo di Vito, 89125 Reggio Calabria, Italy
    These authors contributed equally to this work.)

  • Paola Lea Staglianó

    (Department DICEAM, University of Reggio Calabria, Loc. Feo di Vito, 89125 Reggio Calabria, Italy
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Gioia Failla & Paola Lea Staglianó, 2021. "s -Sequences and Monomial Modules," Mathematics, MDPI, vol. 9(21), pages 1-12, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2659-:d:661288
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/9/21/2659/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/9/21/2659/
    Download Restriction: no
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2659-:d:661288. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.