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- Title
Additive Biordered Set Derived From a Ring.
- Authors
Romeo, P. G.; Akhila, R.
- Abstract
In [4] K.S.S. Nambooripad introduced the concept of a biordered set as a partial algebra (E, ωr, ωl) where ωr and ωl are two quasiorders on E satisfying biorder axioms to study the structure of a regular semigroup. Later it is shown in [2] that the set of idempotents of a regular semigroup forms a regular biordered set. Further in [3] the concept of biordered sets is extended into rings. Here we describe the biordered set of some class of rings and discuss the properties of such biordered sets.
- Subjects
PARTIAL algebras; SEMIGROUP algebras; SET theory; RING theory; ABSTRACT algebra
- Publication
Southeast Asian Bulletin of Mathematics, 2018, Vol 42, Issue 1, p111
- ISSN
0129-2021
- Publication type
Article