Characterization of some special rings via linkage
Maryam Jahangiri, Khadijeh Sayyari
TL;DR
This paper explores the properties of linked ideals in commutative Noetherian rings and characterizes important classes of rings like Cohen-Macaulay, Gorenstein, and regular rings through these linked ideals.
Contribution
It provides new descriptions of linked ideals and characterizations of key ring classes in terms of linked ideals and associated primes.
Findings
Linked ideals are characterized via associated prime ideals.
Cohen-Macaulay, Gorenstein, and regular rings are characterized using linked ideals.
The paper offers new insights into the structure of special rings through linkage theory.
Abstract
Some descriptions of linked ideals in a commutative Notherian ring are provided in terms of the Associated prime ideals of . Then, among other things, we make some characterization of Cohen-Macaulay, Gorenstein and regular local rings in terms of their linked ideals.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Polynomial and algebraic computation