Clean coalgebras and clean comodules of finitely generated projective modules

• Date: 2021
• Main Authors: Puspita, N. P., Wijayanti, I. E., Surodjo, B.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: clean coalgebra; clean comodule; finitely generated projective module; Morita context; 16T15; 16D90; 16D40
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1415
• Journal Title: Algebra and Discrete Mathematics

Let \(R\) be a commutative ring with multiplicative identity and \(P\) is a finitely generated projective \(R\)-module. If \(P^{\ast}\) is the set of \(R\)-module homomorphism from \(P\) to \(R\), then the tensor product \(P^{\ast}\otimes_{R}P\) can be considered as an \(R\)-coalgebra. Furthermore,...