VAGUE BI-IDEAL OF A Γ-NEAR RING

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Published: 2017-10-31

Page: 116-126


S. RAGAMAYI *

K L University, Vaddeswaram, Guntur, Andhra Pradesh, India.

J. MADHUSUDHANA RAO

Vijaya Engineering College, Ammapalem, Khammam, Telengana, India.

T. ESWARLAL

K L University, Vaddeswaram, Guntur, Andhra Pradesh, India.

Y. BHARGAVI

K L University, Vaddeswaram, Guntur, Andhra Pradesh, India.

*Author to whom correspondence should be addressed.


Abstract

In this article, we introduce and study the concept of a vague bi-ideal of a Γ-Near ring and study various properties of it. We prove that a vague set A is vague Bi-ideal of a Γ-Near ring M if and only if the vague cut A(α,β) is a Bi-ideal of M. Further, we prove that homomorphic image and inverse homomorphic image of a vague Bi-ideal of M is also a vague Bi-ideal of M. Also, we prove the characteristic set of S, δS is a vague bi-ideal of M if and only if S is a bi-ideal of M. Further, we prove intersection of two vague bi-ideals is also a vague bi-ideal of M.

Keywords: Vague set, Vague cut, Vague characteristic set, Vague ideal, vague Bi-ideal;, Nearring


How to Cite

RAGAMAYI, S., RAO, J. M., ESWARLAL, T., & BHARGAVI, Y. (2017). VAGUE BI-IDEAL OF A Γ-NEAR RING. Asian Journal of Mathematics and Computer Research, 21(3), 116–126. Retrieved from https://ikprress.org/index.php/AJOMCOR/article/view/1143

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