1. N-fold module factorizations
- Author
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Sun, Yongliang and Zhang, Yaohua
- Subjects
Mathematics - Rings and Algebras ,16E65, 18G80, 18G65, 18G25 - Abstract
Module factorizations with two factors of a regular normal element in a ring are newly introduced by Xiao-Wu Chen. In the paper, we introduce n-fold module factorizations, that is, module factorizations with n factors. First we realize the category of n-fold module factorizations as the module category of a matrix subring. Then we relate n-fold module factorizations with Gorenstein projective components to Gorenstein projective modules over a specific upper triangular matrix ring, leading to the study of triangular equivalences among certain triangulated stable categories. Finally, we explore recollements involving the stable categories of higher-fold module factorizations. Our results generalize the commutative version of n-fold matrix factorizations and the non-commutative version of 2-fold module factorizations., Comment: 17pages, All comments are welcome
- Published
- 2024