JP Journal of Algebra, Number Theory and Applications
Volume 13, Issue 1, Pages 7 - 15
(February 2009)
|
|
A THEOREM ON QA-HOMOMORPHISMS
Daniel Abraham Romano (Bosnia and Herzegovina)
|
Abstract: Setting of this investigation is Bishop?s constructive mathematics. Notions of QA-mappings and Q-quasi-antiorders were introduced and studied by the author in a recent article. Yet another theorem on antiordered semigroups is given in this paper. Let Sand Tbe antiordered semigroups, dbe a Q-quasi-antiorder on Tand ?be a QA-homomorphism of Sonto T. Then if sis a Q-quasi-antiorder on Ssatisfying ?there exists a unique QA-homomorphism y of ?onto |
Keywords and phrases: constructive mathematics, semigroup with apartness, antiorder, quasi-antiorder, isotone and reverse isotone homomorphism. |
|
Number of Downloads: 411 | Number of Views: 1393 |
|