Quasi-complete intersection homomorphisms

TL;DR

This paper introduces a new class of ring homomorphisms called quasi-complete intersection homomorphisms, extending the concept of locally complete intersection maps and exploring their properties in commutative algebra.

Contribution

It defines and studies quasi-complete intersection homomorphisms, a broader class than locally complete intersection homomorphisms, and analyzes their key properties.

Findings

Quasi-complete intersection homomorphisms form a strictly larger class than locally complete intersection homomorphisms.

Many properties of locally complete intersection homomorphisms are shared by the new class.

The paper extends the understanding of homomorphism classes in commutative algebra.

Abstract

Extending a notion defined for surjective maps by Blanco, Majadas, and Rodicio, we introduce and study a class of homomorphisms of commutative noetherian rings, which strictly contains the class of locally complete intersection homomorphisms, while sharing many of its remarkable properties.