We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Modules determined by their annihilator classes.
- Authors
Breaz, Simion; Trlifaj, Jan
- Abstract
We present a classification of those finite length modules X over a ring A that are isomorphic to every module Y of the same length such that Ker(HomA(−, X)) = Ker(HomA(−, Y)), that is, X is determined by its length and the torsion pair cogenerated by X. We also prove the dual result using the torsion pair generated by X. For the case when A is right hereditary, we prove an analogous classification using the cotorsion pair generated by X, but show that the dual result is not provable in ZFC.
- Subjects
TORSION; TORSION products; HOMOLOGICAL algebra; TORSION theory (Algebra); COMMUTATIVE rings
- Publication
Journal of the London Mathematical Society, 2010, Vol 81, Issue 1, p225
- ISSN
0024-6107
- Publication type
Article
- DOI
10.1112/jlms/jdp065