In this article, we combine the notions of BM-algebra and semigroup to introduce a ring like structure with two binary operations, which is named as a "BM-semigroup". The concepts of left and right ideals of a BM-semigroup are also introduced and related properties are studied. Some results on homomorphism defined on a BM-semigroup are also given. © 2020, Research Publication. All rights reserved.

Indhira K

Department of Mathematics

School of Advanced Sciences

Vellore Campus

J. Thomas

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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Journal	Advances in Mathematics: Scientific Journal
Publisher	Research Publication
ISSN	18578365