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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 46 | Number 2 | Year 2017 | Article Id. IJMTT-V46P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V46P513

SP-Ring and Its Properties


K.Shanmuga Priya, M.Mullai
Abstract

Algebra is largely concerned with the study of abstract sets endowed with one or more binary operation. In this paper, an algebraic structure known as "SP-RING", which is an extension of SP-Algebra has been in- troduced. The definition of SP-Ring, integral domain, some theorems, lemmas, properties and unique factorization theorem are also defined and discussed briefly.

Keywords
SP-Ring, Integral domain, Euclidean domain, Unique Factorization theorem.
References

[1] Borzooei.R.A and Zahiri.O, Prime Ideals in BCI and BCK-Algebras, Annals of the University of Craiova, Mathematics and Computer Science Series. Volume 39(2), 2012, pages 266-276, ISSN: 1223-6934.
[2] Eric Jespesrs, Associtive Algebra, Website: http: home- pages.vub.ac.be/efjesper HOC: donderdag 09-11uur, F.4.113(2016-2017)
[3] Herstein.N, Topics in Algebra, Second Edition(2011).
[4] Iseki.T and Tanaka.S, An Introduction to the theory Of BCK-Algebra, Math Japonica23(1978).
[5] Iseki.K, On BCI-Algebra, Math. Seminar Notes 8(1980), 125-130.
[6] Jiang Hao and Chen Xue li, On Ideals of an Ideal in a BCI-Algebra, Scientiae Mathematicae Japonicae, No.10,(2004), 493-500.
[7] Mahmut Kuzucuoglu, Exercises and Solutions in Groups Rings and Fields, Middle East Technical University, matmah@metu.edu.tr, Ankara, Turkey April 18, 2012.
[8] Marek Palasinski, Some Remarks on BCK-Algebra, Bulletin of the section of logic. Volume 9/2(1980), pp 85-87, Re-edition 2010[Original edition,pp.85- 87].
[9] Mullai.M, Shanmuga Priya.K, A Note on SP-Algebra, International Conference on Mathematical Modelling and Computational Methods in Sci- ence and Engineering february-2017.
[10] Priya, Ramachandran.T, Classification of PS- Algebra, The Interna- tional Journal of Science and Technology, vol.1 Issue 7, September 2014.
[11] Sung Min Hong, Young Bae Jun and Mehmet Ali Ooturk, Gen- eralization of BCK-Algebras, Sientiae Mathematica Japnonicae Online, Vol. 8,(2003), 549-557.
[12] Zahra Samaei.M, A Class of BCK-Algebra, International Journal of Al- gebra, vol.5, 2011, no.28, 1379-1385.
[13] Huang Yisheng, BCI-Algebra, Science Press(2006).

Citation :

K.Shanmuga Priya, M.Mullai, "SP-Ring and Its Properties," International Journal of Mathematics Trends and Technology (IJMTT), vol. 46, no. 2, pp. 66-78, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V46P513

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