Clean coalgebras and clean comodules of finitely generated projective modules

• 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
• 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.

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...