IJPAM: Volume 114, No. 1 (2017)

Title

LEFT FILTERS IN TERNARY SEMIGROUPS

Authors

G. Jayalalitha$^1$, Y. Sarala$^2$, B. Srinivasa Kumar$^1$, D. Madhusudhana Rao$^1$
$^1$Department of Mathematics
K.L. University
Guntur Dt., A.P., INDIA
$^2$Department of Mathematics
National Institute of Technology
A.P., INDIA

Abstract

In this paper we consider the left ternary filters in a ternary semigroup. We analyze some relations between the left ternary filters and completely prime ideals of a ternary semigroup $T$.

History

Received: November 18, 2016
Revised: March 24, 2017
Published: April 21, 2017

AMS Classification, Key Words

AMS Subject Classification: 06F05, 20N99
Key Words and Phrases: left ternary filter, completely prime, c-system, d-system

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Bibliography

1
A. Anjaneyulu, Semigroups in which prime ideals are maximal, Semigroup Forum, 22 (1981), 151-158.

2
A.H. Clifford, G.B. Preston, The Algebraic Theory of Semigroups, American Mathematical Society, Providence I (1961).

2
A.H. Clifford, G.B. Preston, The Algebraic Theory of Semigroups, American Mathematical Society, Providence II(1967).

3
Y.I. Kwon, The filters of ordered $ \Gamma $-semigroups, Journal of Korea Society of Mathematical Education: The pure and applied mathematics, 4 (1997), 131-135.

4
Kostaq Hila, Filters in ordered $ \Gamma $-semigroups, Rocky Mountain Journal of Mathematics, 41, No. 1 (2011), 189-203.

5
S.K. Lee, Y.I Kwon, On left $ \Gamma $-filter of $ \Gamma $-po-semigroups, Korean Journal of Mathematics, 17, No. 1 (2009), 77-81.

6
S.K. Lee, S.S. Lee, Left(Right) filters on po-semigroups, Kangweon-Kyungki Mathematics Journal, 8, No. 1 (2000), 43-45.

7
I.S. Rakhimov, D. Kalyan Kumar, Akhil ChandraPaul, On commutativity of completely prime, Malaysian Journal of Mathematical, 7, No. 2 (2013), 283-295.

8
Y. Sarala, A. Anjaneyulu, D. Madhusudhanarao, Ideals in ternary semigroups, International e-Journal of Mathematics and Engineering, 203 (2013), 1950-1968.

9
S.V.B. Subrahmanyeswara Rao, A. Anjaneyulu, D. Madhusudhanarao, Po-$ \Gamma $-filters in po-$ \Gamma $-semigroups, International Journal of Mathematical Sciences, Technology and Humanities, 62 (2012), 669-683.

How to Cite?

DOI: 10.12732/ijpam.v114i1.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 114
Issue: 1
Pages: 55 - 59


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