Flat extension and phantom homology

• Date: 2017
• Main Author: Bhattacharyya, Rajsekhar
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2017
• Subjects: tight closure; phantom homology; 13A35
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/41
• Journal Title: Algebra and Discrete Mathematics

Phantom homology arises in tight closure theory due to small non-exactness when `kernel' is not equal to `image' but `kernel' is in the tight closure of the `image'. In this paper we study a typical flat extension, which we call *-flat extension, such that upon tensoring which pr...