Open AccessOn alpha-prime and Weakly alpha-prime Submodules
Author(s) -
Thawatchai Khumprapussorn
Publication year - 2018
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v11i3.3275
Subject(s) - prime (order theory) , mathematics , alpha (finance) , prime element , generalization , associated prime , pure mathematics , arithmetic , discrete mathematics , combinatorics , mathematical analysis , statistics , construct validity , psychometrics
We have introduced the notion of $\alpha$-prime and weakly $\alpha$-prime submodules as a generalization of prime submodules. Some basic properties of $\alpha$-prime and weakly $\alpha$-prime submodules are the extension of prime submodules. Finally, after introducing the notion of $\alpha$-prime submodules, we also define and study the concept of $\alpha$-prime ideals in a ring.