Clean coalgebras and clean comodules of finitely generated projective modules
Let R be a commutative ring with multiplicative identity and P is a finitely generated projective R-module. If P* is the set of R-module homomorphism from P to R, then the tensor product P* ⊗R P can be considered as an R-coalgebra. Furthermore, P and P* is a comodule over coalgebra P* ⊗R P. Using t...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2021 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188710 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Clean coalgebras and clean comodules of finitely generated projective modules / N.P. Puspita, I.E. Wijayanti, B. Surodjo // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 251–260. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862575832643403776 |
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| author | Puspita, N.P. Wijayanti, I.E. Surodjo, B. |
| author_facet | Puspita, N.P. Wijayanti, I.E. Surodjo, B. |
| citation_txt | Clean coalgebras and clean comodules of finitely generated projective modules / N.P. Puspita, I.E. Wijayanti, B. Surodjo // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 251–260. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let R be a commutative ring with multiplicative identity and P is a finitely generated projective R-module. If P* is the set of R-module homomorphism from P to R, then the tensor product P* ⊗R P can be considered as an R-coalgebra. Furthermore, P and P* is a comodule over coalgebra P* ⊗R P. Using the Morita context, this paper give sufficient conditions of clean coalgebra P* ⊗R P and clean P* ⊗R P-comodule P and P*. These sufficient conditions are determined by the conditions of module P and ring R.
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| first_indexed | 2025-11-26T13:37:31Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188710 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-26T13:37:31Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Puspita, N.P. Wijayanti, I.E. Surodjo, B. 2023-03-11T16:10:19Z 2023-03-11T16:10:19Z 2021 Clean coalgebras and clean comodules of finitely generated projective modules / N.P. Puspita, I.E. Wijayanti, B. Surodjo // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 251–260. — Бібліогр.: 17 назв. — англ. 1726-3255 DOI:10.12958/adm1415 2020 MSC: 16T15, 16D90, 16D40. https://nasplib.isofts.kiev.ua/handle/123456789/188710 Let R be a commutative ring with multiplicative identity and P is a finitely generated projective R-module. If P* is the set of R-module homomorphism from P to R, then the tensor product P* ⊗R P can be considered as an R-coalgebra. Furthermore, P and P* is a comodule over coalgebra P* ⊗R P. Using the Morita context, this paper give sufficient conditions of clean coalgebra P* ⊗R P and clean P* ⊗R P-comodule P and P*. These sufficient conditions are determined by the conditions of module P and ring R. This research is supported by Doctoral Research Grant, Directory of Higher Education, the Ministry of Education and Culture, Indonesia, 2019-2020. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Clean coalgebras and clean comodules of finitely generated projective modules Article published earlier |
| spellingShingle | Clean coalgebras and clean comodules of finitely generated projective modules Puspita, N.P. Wijayanti, I.E. Surodjo, B. |
| title | Clean coalgebras and clean comodules of finitely generated projective modules |
| title_full | Clean coalgebras and clean comodules of finitely generated projective modules |
| title_fullStr | Clean coalgebras and clean comodules of finitely generated projective modules |
| title_full_unstemmed | Clean coalgebras and clean comodules of finitely generated projective modules |
| title_short | Clean coalgebras and clean comodules of finitely generated projective modules |
| title_sort | clean coalgebras and clean comodules of finitely generated projective modules |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188710 |
| work_keys_str_mv | AT puspitanp cleancoalgebrasandcleancomodulesoffinitelygeneratedprojectivemodules AT wijayantiie cleancoalgebrasandcleancomodulesoffinitelygeneratedprojectivemodules AT surodjob cleancoalgebrasandcleancomodulesoffinitelygeneratedprojectivemodules |