n-Coherence Relative to a Hereditary Torsion Theory
Let R be a ring, τ=T,ℱ a hereditary torsion theory of mod-R, and n a positive integer. Then, R is called right τ-n-coherent if every n-presented right R-module is τ,n+1-presented. We present some characterizations of right τ-n-coherent rings, as corollaries, and some characterizations of right n-coh...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/9651894 |
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| author | Zhu Zhanmin |
| author_facet | Zhu Zhanmin |
| author_sort | Zhu Zhanmin |
| collection | DOAJ |
| description | Let R be a ring, τ=T,ℱ a hereditary torsion theory of mod-R, and n a positive integer. Then, R is called right τ-n-coherent if every n-presented right R-module is τ,n+1-presented. We present some characterizations of right τ-n-coherent rings, as corollaries, and some characterizations of right n-coherent rings and right τ-coherent rings are obtained. |
| format | Article |
| id | doaj-art-fc79c8472049418f9193a205c2005bcf |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-fc79c8472049418f9193a205c2005bcf2025-02-03T06:46:32ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/96518949651894n-Coherence Relative to a Hereditary Torsion TheoryZhu Zhanmin0Department of Mathematics, Jiaxing University, Jiaxing, Zhejiang Province 314001, ChinaLet R be a ring, τ=T,ℱ a hereditary torsion theory of mod-R, and n a positive integer. Then, R is called right τ-n-coherent if every n-presented right R-module is τ,n+1-presented. We present some characterizations of right τ-n-coherent rings, as corollaries, and some characterizations of right n-coherent rings and right τ-coherent rings are obtained.http://dx.doi.org/10.1155/2020/9651894 |
| spellingShingle | Zhu Zhanmin n-Coherence Relative to a Hereditary Torsion Theory Journal of Mathematics |
| title | n-Coherence Relative to a Hereditary Torsion Theory |
| title_full | n-Coherence Relative to a Hereditary Torsion Theory |
| title_fullStr | n-Coherence Relative to a Hereditary Torsion Theory |
| title_full_unstemmed | n-Coherence Relative to a Hereditary Torsion Theory |
| title_short | n-Coherence Relative to a Hereditary Torsion Theory |
| title_sort | n coherence relative to a hereditary torsion theory |
| url | http://dx.doi.org/10.1155/2020/9651894 |
| work_keys_str_mv | AT zhuzhanmin ncoherencerelativetoahereditarytorsiontheory |