**InternationaleJournals**

**N(A)-TERNARY SEMIGROUPS**

**Ch. Manikya Rao ^{1},
P. Koteswara Rao^{2} and D. Madhusudhana Rao^{3} **

^{1}* Department of Mathematics, Bapatla Arts &
Sciences College, Bapatla, Guntur
(Dt), A. P. India. Email : cmrao1998@gmail.com *

^{2}*Acharya Nagarjuna University, Nagarjuna Nagar,
Guntur*

^{1}*Department of Mathematics, V. S. R & N. V. R.
College, Tenali, A. P. India.*

**ABSTRACT**

*In this paper, the terms, ‘A-potent’, ‘left A-divisor’, ‘right
A-divisor’, ‘A-divisor’ elements, ‘N(A)-ternary semigroup’ for an ideal A of a ternary
semigroup are introduced. If A is an ideal of a ternary semigroup T then it is
proved that
*(1)

R(A) = N

**Mathematical subject classification (2010)** : 20M07; 20M11; 20M12.

**KEY
WORDS: **Pseudo
symmetric ideal, semipseudo symmetric ideal, prime ideal, semiprime ideal,
completely prime ideal, completely semiprime ideal, semisimple element,
A-potent element, A-potent ideal, A-divisor, N(A)- ternary semigroup.

**International
eJournal of Mathematical Sciences, Technology and Humanities**

**Volume** **3**,
**Issue** **3**, **Pages**: ** **1080 - 1090