2017/09/11 by Maryam Jahangiri, Jahangiri, Maryam, Khadijeh Sayyari +1
Computer Science · Mathematics · #13C40 (Primary) #13D45 13C14 (Secondary) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1709.03268
openalex publication_date 2017/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Inspired by the works in linkage theory of ideals, we define the concept of linkage of ideals over a module. Several known theorems in linkage theory are improved or recovered by new approaches. Specially, we make some extensions and generalizations of the basic result of Peskine and Szpiro \cite[prop 1.3]PS, namely if R is a Gorenstain local ring, \mathfraka ≠ 0 (an ideal of R) and \mathfrakb := 0:R \mathfraka then \fracR\mathfraka is Cohen-Macaulay if and only if \fracR\mathfraka is unmixed and \fracR\mathfrakb is Cohen-Macaulay.