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...

Full description

Saved in:
Bibliographic Details
Published in:Algebra and Discrete Mathematics
Date:2021
Main Authors: Puspita, N.P., Wijayanti, I.E., Surodjo, B.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2021
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/188710
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this: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.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
_version_ 1862575832643403776
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.
first_indexed 2025-11-26T13:37:31Z
format Article
fulltext
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