English

Basically regular local homomorphisms

Commutative Algebra 2022-05-31 v1

Abstract

We investigate the transfer of regularity between commutative, noetherian, local rings through a class of local homomorphisms which we call basically regular. We give numerical characterizations of these maps, investigate their behavior under composition and decomposition, and compare them with Avramov-Foxby-Herzog's weakly regular local homomorphisms.

Keywords

Cite

@article{arxiv.2205.14279,
  title  = {Basically regular local homomorphisms},
  author = {Samir Bouchiba and Salah Kabbaj and Keri Sather-Wagstaff},
  journal= {arXiv preprint arXiv:2205.14279},
  year   = {2022}
}

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13 pages