Boolean zero square (BZS) semigroups
Other Title(s)
أشباه الزمر البولانية ذات المربع الصفري
Author
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 26, Issue 1 (30 Jun. 2021), pp.31-39, 9 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2021-06-30
Country of Publication
Oman
No. of Pages
9
Main Subjects
Abstract EN
We introduce a new class of semigroups, that we call BZS - Boolean Zero Square-semigroups.
A semigroup S with a zero element, 0, is said to be a BZS semigroup if, for every ?∈?, we have ?2=? or ?2=0.
We obtain some properties that describe the behaviour of the Green’s equivalence relations ℛ, ℒ, ℋ and ?.
Necessary and sufficient conditions for a BZS semigroup to be a band and an inverse semigroup are obtained.
A characterisation of a special type of BZS completely 0-simple semigroup is presented.-
American Psychological Association (APA)
Pinto, G. A.. 2021. Boolean zero square (BZS) semigroups. Sultan Qaboos University Journal for Science،Vol. 26, no. 1, pp.31-39.
https://search.emarefa.net/detail/BIM-1341549
Modern Language Association (MLA)
Pinto, G. A.. Boolean zero square (BZS) semigroups. Sultan Qaboos University Journal for Science Vol. 26, no. 1 (2021), pp.31-39.
https://search.emarefa.net/detail/BIM-1341549
American Medical Association (AMA)
Pinto, G. A.. Boolean zero square (BZS) semigroups. Sultan Qaboos University Journal for Science. 2021. Vol. 26, no. 1, pp.31-39.
https://search.emarefa.net/detail/BIM-1341549
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 39
Record ID
BIM-1341549