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Title

ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES

مجله ساختارهای جبری، دوره: 9، شماره: 2
Year: 1401
COI: JR_JAS-9-2_001
Language: EnglishView: 39
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Authors

H. Hejazipour - Department of Mathematical Sciences, Shahrekord University, P.O. Box ۱۱۵, Shahrekord, Iran.
A. Naghipour - Department of Mathematical Sciences, Shahrekord University, P.O. Box ۱۱۵, City, Country.

Abstract:

Let M(X, \mathcal{A}, \mu) be the ring of real-valued measurable functionson a measurable space (X, \mathcal{A}) with measure \mu.In this paper, we study the zero-divisor graph of M(X, \mathcal{A}, \mu),denoted by \Gamma(M(X, \mathcal{A}, \mu)).We give the relationships among graph properties of \Gamma(M(X, \mathcal{A}, \mu)), ring properties ofM(X, \mathcal{A}, \mu) and measure properties of (X, \mathcal{A}, \mu).Finally, we investigate the continuity properties of \Gamma(M(X, \mathcal{A}, \mu)).

Keywords:

Rings of measurable functions , Measure space , zero-divisor graph , Continuous function

Paper COI Code

This Paper COI Code is JR_JAS-9-2_001. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1282208/

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Hejazipour, H. and Naghipour, A.,1401,ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES,https://civilica.com/doc/1282208

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  • M. Abedi, Zero-divisor graph of real-valued continuous functions on a ...
  • S. Acharyya, S. K. Acharyya, S. Bag and J. Sack, ...
  • A. Amini, B. Amini, E. Momtahan and M. H. Shirdeh ...
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Type of center: دانشگاه دولتی
Paper count: 7,966
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