Boolean Zero Square (BZS) Semigroups | Zendy

Pinto G.A. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Boolean Zero Square (BZS) Semigroups

Author(s) -

Pinto G.A.

Publication year - 2021

Publication title -

maǧallaẗ ǧāmiʿaẗ al-sulṭān qābūs li-l-ʿulūm/sultan qaboos university journal for science

Language(s) - English

Resource type - Journals

eISSN - 2414-536X

pISSN - 2308-3921

DOI - 10.53539/squjs.vol26iss1pp31-39

Subject(s) - mathematics , semigroup , special classes of semigroups , square (algebra) , zero (linguistics) , pure mathematics , cancellative semigroup , bicyclic semigroup , inverse semigroup , discrete mathematics , inverse , linguistics , philosophy , geometry

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 or . We obtain some properties that describe the behaviour of the Green’s equivalence relations , , 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research