@article {
author = {Hejazipour, Homayon and Naghipour, Ali},
title = {SOME ALGEBRAIC AND MEASURE THEORETIC PROPERTIES OF THE RINGS OF MEASURABLE FUNCTIONS},
journal = {Journal of Algebraic Systems},
volume = {},
number = {},
pages = {-},
year = {2024},
publisher = {Shahrood University of Technology},
issn = {2345-5128},
eissn = {2345-511X},
doi = {10.22044/jas.2023.12150.1633},
abstract = {Let $M(X, \mathcal{A}, \mu)$ be the ring of real-valued measurable functions on a measure space $(X, \mathcal{A}, \mu)$. In this paper, we show that the maximal ideals of $M(X, \mathcal{A}, \mu)$ are associated with the special measurable sets in $\mathcal{A}$. We also study some other algebraic properties of $M(X, \mathcal{A}, \mu)$.},
keywords = {Measure spaces,Rings of measurable functions,Maximal ideals,Prime ideals,Variety of ideals},
url = {https://jas.shahroodut.ac.ir/article_3097.html},
eprint = {https://jas.shahroodut.ac.ir/article_3097_f626aab0cbd444f70ff72008544070ed.pdf}
}