Boolean zero square (BZS)‎ semigroups

Other Title(s)

أشباه الزمر البولانية ذات المربع الصفري

Author

Pinto, G. A.

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

Physics

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