1
Department of Mathematics, Shahrekord University, Shahekord, Iran
2
Department of athematics, Shahrekord University, Shahrekord, Iran
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 $M(X, \mathcal{A}, \mu)$.
Naghipour, A., & Hejazipour, H. (2024). Some algebraic and measure theoretic properties of the rings of measurable functions. Journal of Algebraic Systems, (), -. doi: 10.22044/jas.2023.12150.1633
MLA
Ali Reza Naghipour; Homayon Hejazipour. "Some algebraic and measure theoretic properties of the rings of measurable functions". Journal of Algebraic Systems, , , 2024, -. doi: 10.22044/jas.2023.12150.1633
HARVARD
Naghipour, A., Hejazipour, H. (2024). 'Some algebraic and measure theoretic properties of the rings of measurable functions', Journal of Algebraic Systems, (), pp. -. doi: 10.22044/jas.2023.12150.1633
VANCOUVER
Naghipour, A., Hejazipour, H. Some algebraic and measure theoretic properties of the rings of measurable functions. Journal of Algebraic Systems, 2024; (): -. doi: 10.22044/jas.2023.12150.1633
)