Every Prüfer ring does not have small finitistic dimension at most one
FG Wang, DC Zhou, H Kim, T Xiong… - Communications in …, 2020 - Taylor & Francis
Let R be a commutative ring with identity. Denote by FPR (R) the set of all R-modules
admitting a finite projective resolution consisting of finitely generated projective modules …
admitting a finite projective resolution consisting of finitely generated projective modules …
CS-Rickart modules
In this paper, we introduce and study the concept of CS-Rickart modules, that is a module
analogue of the concept of ACS rings. A ring R is called a right weakly semihereditary ring if …
analogue of the concept of ACS rings. A ring R is called a right weakly semihereditary ring if …
强Prüfer 环的同调刻画
W Fang Gui, Q Lei, Z De Chuan - 数学学报 - actamath.cjoe.ac.cn
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¤ Þ Vol.64, No.2 2021±± ACTA MATHEMATICA SINICA, CHINESE SERIES Mar., 2021 ×ÁË …
¤ Þ Vol.64, No.2 2021±± ACTA MATHEMATICA SINICA, CHINESE SERIES Mar., 2021 ×ÁË …
Characterization of rings using finite-direct-injective modules
In this paper, we characterize strongly right C 2-rings in terms of finite-direct-injective
modules which is a generalization of direct-injective modules (or C 2-modules). Using this …
modules which is a generalization of direct-injective modules (or C 2-modules). Using this …
Strongly D 2 modules and their applications
M Chen, H Kim, F Wang - Journal of Algebra and Its Applications, 2022 - World Scientific
An R-module M is called strongly D 2 if M (n) is a D 2 (equivalently, direct projective) module
for every positive integer n. In this paper, we consider the class of quasi-projective R …
for every positive integer n. In this paper, we consider the class of quasi-projective R …
On Some n-C2 and Strongly C2 Extensions
F Kourki, J Chen, W Li - Algebra Colloquium, 2020 - World Scientific
Let R be a ring and n be a positive integer. Then R is called a left n-C2-ring (strongly left C2-
ring) if every n-generated (finitely generated) proper right ideal of R has nonzero left …
ring) if every n-generated (finitely generated) proper right ideal of R has nonzero left …
Weakly $\\oplus $-supplemented modules and weakly $ D2 $ modules
MT Ko, TC Quynh - 대한수학회보, 2020 - dbpia.co.kr
In this paper, we introduce and study the notions of weakly $\oplus $-supplemented
modules, weakly $ D2 $ modules and weakly $ D2 $-covers. A right $ R $-module $ M $ is …
modules, weakly $ D2 $ modules and weakly $ D2 $-covers. A right $ R $-module $ M $ is …