arXiv subjects

Salah Kabbaj

Publications and source records attributed to Salah Kabbaj.

2 recordsLinked to original sources

arXiv2022

Basically regular local homomorphisms

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.

math.AC↗

arXiv2003

Essential domains and two conjectures in dimension theory

This note investigates two long-standing conjectures on the Krull dimension of integer-valued polynomial rings and of polynomial rings, respectively, in the context of (locally) essential domains.

math.AC↗