Sequence of Exact Zero-Divisors
Mohammad T. Dibaei, Mohsen Gheibi
TL;DR
This paper introduces and investigates the concept of sequences of exact zero-divisors on noetherian local rings, comparing their properties with those of regular sequences to deepen understanding of ring structure.
Contribution
It defines the notion of sequences of exact zero-divisors and explores their properties, providing new insights into their relationship with regular sequences in noetherian local rings.
Findings
Sequences of exact zero-divisors are characterized and compared with regular sequences.
Properties of these sequences are established and related to ring-theoretic concepts.
The study enhances understanding of zero-divisors in algebraic structures.
Abstract
The concept of a sequence of exact zero-divisors on a noetherian local ring is defined and studied. Some properties of sequences of exact zero-divisors are compared with regular sequences.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Advanced Topics in Algebra