Quotient TM-algebras

Abstract

In this paper, we introduce the notiton of quotient TM-algebra X/I from a TM-algebra X via an ideal I of X, and we obtain some relationships between X/I and I. In addition, we have the fundamental theorem of homomorphism for TM-algebras as a consequence. Some more properties of left and right mappings of TM-algebras are also investigated.

Some Homomorphism Properties of TM-Algebras

“…The notion of TM-algebra was introduced by K. Megalai and A. Tamilarasi [3]. A TM-algebra is a non-empty set (X, ⊙, 0) with a binary operation ⊙ and a constant 0 satisfying the following identities: for all x, y, z ∈ X, (1)…”