TL;DR
This paper introduces the foundational aspects of Morita theory applied to module systems over semirings, extending classical Morita theory from rings to a broader algebraic context.
Contribution
It develops the basic framework of Morita theory for module systems over semirings, generalizing classical results to a new setting.
Findings
Establishment of Morita equivalence criteria for semiring modules
Extension of classical Morita theory to semiring contexts
Foundational results for future research in semiring module theory
Abstract
We present the rudiments of the Morita theory of module systems (over semirings), paralleling the classical Morita theory over associative rings.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Algebra and Logic · semigroups and automata theory