On certain infinite semi groups of order-increasing transformations II
Author
Source
The Arabian Journal for Science and Engineering. Section A, Science
Issue
Vol. 28, Issue 2A (31 Jul. 2003), pp.203-210, 8 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2003-07-31
Country of Publication
Saudi Arabia
No. of Pages
8
Main Subjects
Topics
Abstract AR
لتكن س مجموعة مرتبة جزيئا.
لقد تبين أن شبه الزمرة أ+ (س) المتكونة من جميع التطبيقات الأحادية ذات الرتبة التزايدية هي شبه زمرة واسعة بحيث لها خواص جديرة بالاهتمام.
و قد تم التوصل إلى شرط لازم و كاف (يتحقق على المجموعات المرتبة كليا س, ص) بحيث تكون شبه الزمر أ+ (س) و أ+ (ص) متشاكلة.
Abstract EN
Let X be an arbitrary poset.
The semigroup I+(X) of all order-increasing partial one– one mappings of X is shown to be an ample semigroup with some interesting properties.
Moreover, a necessary and sufficient condition (on the totally ordered sets X and Y ) for I+(X) and I+(Y ) to be isomorphic has been established.
American Psychological Association (APA)
Umar, Abd Allah. 2003. On certain infinite semi groups of order-increasing transformations II. The Arabian Journal for Science and Engineering. Section A, Science،Vol. 28, no. 2A, pp.203-210.
https://search.emarefa.net/detail/BIM-359902
Modern Language Association (MLA)
Umar, Abd Allah. On certain infinite semi groups of order-increasing transformations II. The Arabian Journal for Science and Engineering. Section A, Science Vol. 28, no. 2A (Jul. 2003), pp.203-210.
https://search.emarefa.net/detail/BIM-359902
American Medical Association (AMA)
Umar, Abd Allah. On certain infinite semi groups of order-increasing transformations II. The Arabian Journal for Science and Engineering. Section A, Science. 2003. Vol. 28, no. 2A, pp.203-210.
https://search.emarefa.net/detail/BIM-359902
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 210
Record ID
BIM-359902
