Article

Laterally complete regular modules

Jasurbek A. KarimovNational University of Uzbekistan , Tashkent , Uzbekistan

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2023en

ABI

Abstract

Let A be a laterally complete commutative regular algebra and X be a laterally complete A-module.In this paper we introduce a notion of passport (X) for X, which consist of uniquely defined partition of unity in the Boolean algebra of idempotents in A and the set of pairwise different cardinal numbers.It is proved that A-modules X and Y are isomorphic if and only if (X) = (Y ).

Topics

Rings, Modules, and Algebras Algebraic structures and combinatorial models Commutative Algebra and Its Applications

Identifiers

DOI: 10.56017/2181-1318.1271

Citations and references

Cited by 04 references

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