On a class of λ-modules

Indah Emilia Wijayanti, Muhammad Ardiyansyah, Puguh Wahyu Prasetyo

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Smith in paper [{\it Mapping between module lattices}, Int. Electron. J. Algebra, {\bf 15}, 173–195 (2014)] introduced maps between the lattice of ideals of a commutative ring and the lattice of submodules of an R-module M, i.e., μ and λ mappings. The definitions of the maps were motivated by the definition of multiplication modules. Moreover, some sufficient conditions for the maps to be a lattice homomorphisms are studied. In this work we define a class of λ-modules and observe the properties of the class. We give a sufficient conditions for the module and the ring such that the class λ is a hereditary pretorsion class.
Original languageEnglish
JournalUKRAINIAN MATHEMATICAL JOURNAL
Volume73
Issue number3
DOIs
Publication statusPublished - 11 Mar 2021
MoE publication typeA1 Journal article-refereed

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