Characterization of Chain as a Regular Semi Group | Science Publications

Journal of Mathematics and Statistics

S. O. Makanjuola¹  R. Kehinde¹ 

关键词: Chain;    binary operation;    omega;    partially ordered;    regular semi group;    total order;    bicyclic;   

DOI  :  10.3844/jmssp.2008.199.200

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

Problem Statement: There are some special classes of semi group namely: regular and eventually regular, abundant, orthodox, quasi-adequate. The objective of this study were to: (i) Define a new class of semi group on a Poset and give related examples(ii) Study and establish conditions that characterized Chain as a regular semi group. Approach: Tests of some of characteristics of semi group like associativity, commutativity, and regular semi group were carried out on this new class. Results: Conditions were obtained that showed it is associative and regular. Conclusion: Hence the results suggest that since Chain is regular, there are many other things we can still do this with class of semi group such as: (i) Whether one can characterize all the Green's equivalences and their starred analogues (ii) Whether one can characterize all the congruencies of the given semi group (iii) Whether one characterize all the subsemigroups of the given semi group.

【 授权许可】

Unknown