Homological dimensions of the Jacobson radical
Xiao-Wu Chen, Srikanth B. Iyengar, and Ren\'e Marczinzik
TL;DR
This paper investigates the finiteness and symmetry of homological dimensions related to the Jacobson radical and its syzygies in semiperfect rings, providing new insights into their algebraic structure.
Contribution
It introduces new results on the homological dimensions of the Jacobson radical and explores their symmetry properties in semiperfect rings.
Findings
Finiteness conditions for homological dimensions established.
Symmetry properties of these dimensions demonstrated.
Results applicable to a class of semiperfect rings.
Abstract
This work presents results on the finiteness, and on the symmetry properties, of various homological dimensions associated to the Jacobson radical and its higher syzygies, of a semiperfect ring.
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Taxonomy
TopicsSynthesis and properties of polymers · Synthesis of β-Lactam Compounds · Cyclopropane Reaction Mechanisms