Ring homomorphisms and local rings with quasi-decomposable maximal ideal
Commutative Algebra
2023-08-30 v1
Abstract
The notion of local rings with quasi-decomposable maximal ideal was formally introduced by Nasseh and Takahashi. In separate works, the authors of the present paper show that such rings have rigid homological properties; for instance, they are both Ext- and Tor-friendly. One point of this paper is to further explore the homological properties of these rings and also introduce new classes of such rings from a combinatorial point of view. Another point is to investigate how far some of these homological properties can be pushed along certain diagrams of local ring homomorphisms.
Keywords
Cite
@article{arxiv.2308.14842,
title = {Ring homomorphisms and local rings with quasi-decomposable maximal ideal},
author = {Saeed Nasseh and Keri Ann Sather-Wagstaff and Ryo Takahashi},
journal= {arXiv preprint arXiv:2308.14842},
year = {2023}
}
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21 pages