Cancellation elements in multiplicative lattices
Tiberiu Dumitrescu
TL;DR
This paper extends a theorem from commutative ring theory to the broader context of multiplicative lattices, providing a new characterization of cancellation elements.
Contribution
It introduces a novel extension of Anderson and Roitman's theorem to multiplicative lattices, broadening the understanding of cancellation elements.
Findings
Characterization of cancellation elements in multiplicative lattices
Extension of ring-theoretic results to lattice structures
New theoretical framework for multiplicative lattice analysis
Abstract
We extend to multiplicative lattices a theorem of Anderson and Roitman characterizing the cancellation ideals of a commutative ring.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Algebra and Logic · Advanced Banach Space Theory