Open AccessOn some generalizations of reduced and rigid modules
Author(s) -
Mahadur Dutta,
Kh. Herachandra Singh
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1020/1/012024
Subject(s) - generalization , nilpotent , mathematics , context (archaeology) , pure mathematics , algebra over a field , mathematical analysis , paleontology , biology
In this paper we have introduced the notion of weak reduced module and weak rigid module as the generalizations of reduced module by working on the context of nilpotent elements of module and investigated some of its properties. Various results are extended for this generalization and some counter examples are constructed to validate the generalizations.