Characterizations of left orders in left Artinian rings
V. V. Bavula
TL;DR
This paper introduces three new criteria for determining when a ring has a left Artinian left quotient ring, expanding on previous characterizations by various mathematicians.
Contribution
It provides three novel criteria for identifying rings with left Artinian left quotient rings, enhancing existing theoretical frameworks.
Findings
Three new criteria for left Artinian left quotient rings
Extension of previous characterizations by Small, Robson, Tachikawa, Hajarnavis
Improved understanding of ring structure conditions
Abstract
Small (1966), Robson (1967), Tachikawa (1971) and Hajarnavis (1972) have given different criteria for a ring to have a left Artinian left quotient ring. In this paper, three more new criteria are given.
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Taxonomy
TopicsRings, Modules, and Algebras