Year: 2025
Type: article
Abstract: Consider a pair of elements f and g in a commutative ring Q . Given a matrix factorization of f and another of g , the tensor product of matrix factorizations, which was first introduced by Knörrer and later generalized by Yoshino, produces a matrix factorization of the sum $f+g$ . We will study the tensor product of d -fold matrix factorizations, with a particular emphasis on understanding when the construction has a non-trivial direct sum decomposition. As an application of our results, we construct indecomposable maximal Cohen–Macaulay and Ulrich modules over hypersurface domains of a certain form.
Source: Nagoya Mathematical Journal
DOI: 10.1017/nmj.2025.12
Authors: RICHIE SHENG, TIM TRIBONE
Institution: University of Utah
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
Funder: National Science Foundation
OpenAlex ID: W4407879583