On Fully-M-Cyclic Modules

Samruam Baupradist, Suphawat Asawasamrit

Abstract


The aim of this work was to generalize
generator, $M$-generated modules in order to apply them to a wider
class of rings and modules. We started by establishing a new concept
which is called a fully-$M$-cyclic module. We defined this notation
by using $Hom_R(M,*)$ operators which are helpful to contract the
new construction and describe their properties. Finally, we could
see the structure of fully-$M$-cyclic module and quasi-fully-cyclic
module by the structure of $M$.

Full Text: PDF DOI: 10.5539/jmr.v3n2p23

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

Copyright © Canadian Center of Science and Education

To make sure that you can receive messages from us, please add the 'ccsenet.org' domain to your e-mail 'safe list'. If you do not receive e-mail in your 'inbox', check your 'bulk mail' or 'junk mail' folders.