Insertion of Factors Property in Boolean Like Semi Rings

  • BVN Murthy Bhagavathula Sr Asst Professor
Keywords: IFPBLSR, Annihilator, IFP Near Ring

Abstract

In this paper, Insertion of factors property is introduced in a Boolean like semi ring (shortly BLSR) and also
study some of its properties. Denote IFP Boolean like semi ring by shortly IFPBLSR. Also, prove that the
collection of nilpotent elements forms a sub ring in IFPBLSR. Further prove that annihilator of x, denotes A(x) is
an ideal in IFPBLSR Ɍ and also any sub sets of Ɍ, A(Ѕ) is an ideal of Ɍ.

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Author Biography

BVN Murthy Bhagavathula, Sr Asst Professor

Department of Mathematics, Maharaj Vijayaram Gajapathi Raj College of Engineering, Chintalavalsa,
Vizianagaram, AP, India

References

Gunter Pilz : Near-Rings, The theory and its applications (North-Holland) 1983.

Venkateswarlu. K and Murthy B.V.N and Amaranth N : Boolean like semi rings, Int. J. Contemp. Math.

Sciences, Vol. 6, 2011, no. 13, 619 – 635

Venkateswarlu. K and Murthy B.V.N: primary ideals in a Boolean like semi rings. (Int. J. Contemp. Math.

Sciences, Vol. 6, 2011, no. 28, 1367 – 1377.

Venkateswarlu. K and Murthy B.V.N: Semi prime ideals and Annihilators in Boolean like semi rings,

International Journal of Algebra, Vol. 5, 2011, no. 28, 1363 – 1370.

Published
2019-08-31
How to Cite
Bhagavathula, B. M. (2019). Insertion of Factors Property in Boolean Like Semi Rings. MathLAB Journal, 3, 149-155. Retrieved from http://purkh.com/index.php/mathlab/article/view/501
Section
Research Articles