Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Clean coalgebras and clean comodules of finitely generated projective modules
Репозиторій DSpace/Manakin
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Clean coalgebras and clean comodules of finitely generated projective modules
Інший ID:
DOI:10.12958/adm1415
2020 MSC: 16T15, 16D90, 16D40.
2020 MSC: 16T15, 16D90, 16D40.
Посилання:
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.
Підтримка:
This research is supported by Doctoral Research Grant, Directory of Higher Education, the Ministry of Education and Culture, Indonesia, 2019-2020.
Дата:
2021
Переглядів:
145
Завантажень:
56
Анотація:
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.
