Back to Search Start Over

A topology on the set of isomorphism classes of maximal Cohen--Macaulay modules.

Authors :
Hiramatsu, Naoya
Takahashi, Ryo
Source :
Proceedings of the American Mathematical Society; Jun2020, Vol. 148 Issue 6, p2359-2369, 11p
Publication Year :
2020

Abstract

In this paper, we introduce a topology on the set of isomorphism classes of finitely generated modules over an associative algebra. Then we focus on the relative topology on the set of isomorphism classes of maximal Cohen-Macaulay modules over a Cohen-Macaulay local ring. We discuss the irreducible components over certain hypersurfaces. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
148
Issue :
6
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
142540109
Full Text :
https://doi.org/10.1090/proc/14965