On max-flat and max-cotorsion modules

Y Alagöz, E Büyükaşık - Applicable Algebra in Engineering …, 2021 - Springer
In this paper, we continue to study and investigate the homological objects related to s-pure
and neat exact sequences of modules and module homomorphisms. A right module A is …

An alternative perspective on pure-projectivity of modules

Y Alagöz, Y Durg̃un - São Paulo Journal of Mathematical Sciences, 2020 - Springer
The study of pure-projectivity is accessed from an alternative point of view. Given modules M
and N, M is said to be N-pure-subprojective if for every pure epimorphism g: B → N g: B→ N …

( m, n) 投射模与( m, n) 遗传环

杨璐璐, 赵仁育 - 吉林大学学报(理学版), 2019 - xuebao.jlu.edu.cn
(m,n)-投射模与( m,n)-遗传环 Page 1 第57卷第2期 吉林大学学报(理学版) Vol.57 No.2 2019年
3月 JournalofJilinUniversity(ScienceEdition) Mar 2019 doi:10.13413/j.cnki.jdxblxb.2018305 …

An analysis of hereditary and pure hereditary ring using a triangular matrix ring

MA Akter - Journal of Interdisciplinary Mathematics, 2022 - Taylor & Francis
In this paper the hereditary ring is considered, defined, classified and studied which is
associative with unit where an ideal of R is T. Considering the ring B= B′/J is regular ring …

Rings whose RD-flat modules have restricted subflat domains

Y Durğun, M Bozkurt - Rendiconti del Circolo Matematico di Palermo …, 2023 - Springer
A module KR is said to be RL-subflat if for every short exact sequence 0→ U→ D→ L→ 0 of
left R-modules, the sequence 0→ K⊗ U→ K⊗ D→ K⊗ L→ 0 is exact. The subflat domains of …

(m, n)-纯遗传环

郭景阁, 杨璐璐, 赵仁育 - 吉林大学学报(理学版), 2020 - xuebao.jlu.edu.cn
(m,n)-纯遗传环 Page 1 第58卷第3期 吉林大学学报(理学版) Vol.58 No.3 2020年5月
JournalofJilinUniversity(ScienceEdition) May 2020 doi:10.13413/j.cnki.jdxblxb.2019290 (m,n)-纯 …

The Relation Between Gorenstein Derived and Pure Derived Categories

M Yan, H Yao - Bulletin of the Iranian Mathematical Society, 2022 - Springer
In this paper we study the relation between Gorenstein derived and pure derived categories
under some conditions. Then, we also study the relation between Gorenstein singularity and …

--projective modules and dimension

RAK Assaad, EM Bouba, M Tamekkante - arXiv preprint arXiv:2206.03533, 2022 - arxiv.org
Let $ R $ be a ring. An $ R $-module $ M $ is said to be an absolutely $ w $-pure module if
and only if $\Ext^ 1_R (F, M) $ is a GV-torsion module for any finitely presented module $ F …

w-FP-projective Modules and Dimensions

M Tamekkante - Algebra and Related Topics with Applications …, 2022 - books.google.com
w-FP-projective Modules and Dimensions Page 59 w-FP-projective Modules and Dimensions
Refat Abdelmawla Khaled Assaad, El Mehdi Bouba, and Mohammed Tamekkante Abstract Let …

On m-injective and m-projective modules

Y Alagöz - Mathematical Sciences and Applications E-Notes, 2020 - dergipark.org.tr
In this study, the concept of m-projective modules is introduced. A right R-module M is said
to be m-projective if Ext (M, N)= 0 for any m-injective right R-module N. We prove that every …