Open AccessGeneralization of Semiprime Subsemimodules
Author(s) -
Farkhonde Farzalipour,
Peyman Ghiasvand
Publication year - 2016
Publication title -
journal of bangladesh academy of sciences
Language(s) - English
Resource type - Journals
eISSN - 2224-7270
pISSN - 0378-8121
DOI - 10.3329/jbas.v40i2.30774
Subject(s) - semiprime , generalization , mathematics , semiprime ring , commutative property , multiplication (music) , pure mathematics , algebra over a field , combinatorics , mathematical analysis , prime (order theory)
The authors introduce the concept of almost semiprime subsemimodules of semimodules over a commutative semiring R. They investigated some basic properties of almost semiprime and weakly semiprime subsemimodules and gave some characterizations of them, especially, for (fnitely generated faithful) multiplication semimodules. They also study the relations among the semiprime, weakly semiprime and almost semiprime subsemimodules of semimodules over semirings.Journal of Bangladesh Academy of Sciences, Vol. 40, No. 2, 187-197, 2016