A Schreier domain type condition II
Zaheer Ahmad, Tiberiu Dumitrescu, Mihai Epure
TL;DR
This paper investigates a specific ideal factorization condition in integral domains involving star operations, extending the understanding of domain structures and ideal decompositions.
Contribution
It introduces and analyzes a new Schreier domain type condition related to star operations and ideal factorizations in integral domains.
Findings
Characterization of the new domain condition
Conditions under which the property holds
Implications for ideal decompositions in integral domains
Abstract
For an integral domain D and a star operation * on D, we study the following condition: whenever I>AB with I, A, B nonzero ideals, there exist nonzero ideals H and J such that I*=(HJ)*, H*>A and J*>B.
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