On the radical of endomorphism rings of local modules
Wolmer V Vasconcelos
TL;DR
This paper investigates modules with endomorphism rings that possess a unique two-sided maximal ideal, exploring their construction and properties to deepen understanding of their algebraic structure.
Contribution
It introduces new methods for constructing such modules and analyzes their properties, advancing the theory of endomorphism rings of local modules.
Findings
Identification of conditions for the existence of modules with unique two-sided maximal ideals in their endomorphism rings.
Characterization of the structural properties of these modules.
Insights into the algebraic implications of the unique maximal ideal in endomorphism rings.
Abstract
We study the construction and properties of modules whose endomorphism rings have a unique two-sided maximal ideal.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models