1
Department of Mathematics‎, ‎University of Tabriz
2
Department of Mathematics‎, ‎University of Tabriz‎
Abstract
Let $I$ denote an ideal of a Noetherian ring $R$. The purpose of
this article is to introduce the concepts of quintasymptotic
sequences over $I$ and quintasymptotic cograde of $I$, and to show that they play a role analogous to quintessential sequences
over $I$ and quintessential cograde of $I$. We show that, if $R$ is
local, then the quintasymptotic cograde of $I$ is unambiguously
defined and behaves well when passing to certain related local
rings. Also, we use this cograde to characterize two classes
of local rings.
Jahandoust, S., & Naghipour, R. (2014). Quintasymptotic sequences over an ideal and quintasymptotic cograde. Bulletin of the Iranian Mathematical Society, 40(4), 941-959.
MLA
Jahandoust, S., & Naghipour, R. "Quintasymptotic sequences over an ideal and quintasymptotic cograde", Bulletin of the Iranian Mathematical Society, 40, 4, 2014, 941-959.
HARVARD
Jahandoust S., Naghipour R. (2014). 'Quintasymptotic sequences over an ideal and quintasymptotic cograde', Bulletin of the Iranian Mathematical Society, 40(4), pp. 941-959.
CHICAGO
S. Jahandoust & R. Naghipour, "Quintasymptotic sequences over an ideal and quintasymptotic cograde," Bulletin of the Iranian Mathematical Society, 40 4 (2014): 941-959,
VANCOUVER
Jahandoust S., Naghipour R. Quintasymptotic sequences over an ideal and quintasymptotic cograde. BIMS. 2014;40(4):941-959.
