A+ CATEGORY SCIENTIFIC UNIT

Stability and flatness in acts over monoids

Volume 92 / 2002

James Renshaw Colloquium Mathematicum 92 (2002), 267-293 MSC: Primary 20M50. DOI: 10.4064/cm92-2-10

Abstract

Our aim in this paper is to study the concept of stability for acts over monoids and in the process develop connections with flatness properties of acts and with some of the current techniques and construction used in the homological classification of monoids. We also present new proofs of some results relating to torsion free acts over monoids and to the embeddability of semigroup amalgams.

Authors

  • James RenshawFaculty of Mathematical Studies
    University of Southampton
    Southampton, S017 1BJ, United Kingdom
    e-mail

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