On a class of -modules | Zendy

Indah Emilia Wijayanti | Zendy; Muhammad Ardiyansyah | Zendy; Puguh Wahyu Prasetyo | Zendy

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On a class of -modules

Author(s) -

Indah Emilia Wijayanti,

Muhammad Ardiyansyah,

Puguh Wahyu Prasetyo

Publication year - 2021

Publication title -

ukrains’kyi matematychnyi zhurnal

Language(s) - English

Resource type - Journals

ISSN - 1027-3190

DOI - 10.37863/umzh.v73i3.513

Subject(s) - homomorphism , mathematics , commutative ring , lattice (music) , class (philosophy) , commutative property , pure mathematics , projective module , algebra over a field , multiplication (music) , discrete mathematics , combinatorics , computer science , physics , finitely generated abelian group , artificial intelligence , acoustics

UDC 512.5Smith in paper [ Mapping between module lattices, Int. Electron. J. Algebra, 15 , 173–195 (2014)] introduced maps between the lattice of ideals of a commutative ring and the lattice of submodules of an -module i.e., and 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 -modules and observe the properties of the class. We give a sufficient conditions for the module and the ring such that the class is a hereditary pretorsion class.

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