On uniformly $S$-coherent rings

Xiaolei Zhang

On uniformly $S$-coherent rings

Commutative Algebra 2023-04-20 v3

Authors: Xiaolei Zhang

Abstract

In this paper, we introduce and study the notions of uniformly $S$ -finitely presented modules and uniformly $S$ -coherent rings (modules) which are "uniform" versions of ( $c$ -) $S$ -finitely presented modules and ( $c$ -) $S$ -coherent rings (modules) introduced by Bennis and Hajoui \cite{bh18}. Among the results, uniformly $S$ -versions of Chase's result, Chase Theorem and Matlis Theorem are obtained.

Keywords

module theory

Cite

@article{arxiv.2205.07137,
  title  = {On uniformly $S$-coherent rings},
  author = {Xiaolei Zhang},
  journal= {arXiv preprint arXiv:2205.07137},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2201.07913 by other authors

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