The concept of Pregroups was introduced by Stallings in 1971. Subsequently the concept of Pregroups was developed by many other researchers. Stallings originally defined a set with a binary operation satisfying five axioms, namely, P1, P2, P3, P4, and P5. It has been proved late...
Open access
Research Article10.9734/JAMCS/2017/34918
The concept of length functions on groups is first introduced by Lyndon. This is used to give direct proofs of many other results in combinatorial group theory. Two important sets called M and N satisfying some certain axioms of length functions are considered. Finally investigat...
Open access
Research Article10.9734/JSRR/2017/33282
Let R be a ring with identity, and M is a unitary R-module. In this paper we introduce and study the concepts of pseudo lifting modules and give basic properties, examples and characterizations of these concepts.
Open access
Research Article10.9734/BJMCS/2016/27209