Recent progress in rings and subrings of real valued measurable functions

S Acharyya, SK Acharyya, S Bag… - Quaestiones …, 2020 - Taylor & Francis
Two separated realcompact measurable spaces (X, A) and (Y, B) are shown to be
isomorphic if and only if the rings M (X, A) and M (Y, B) of all real valued measurable …

[PDF][PDF] Zero-divisor graph of the rings of real measurable functions with the measures

H Hejazipour, AR Naghipour - Journal of Algebraic Systems, 2022 - jas.shahroodut.ac.ir
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 …

[PDF][PDF] Some algebraic and measure theoretic properties of the rings of measurable functions

H Hejazipour, AR Naghipour - Journal of Algebraic …, 2025 - journals.shahroodut.ac.ir
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 …

[引用][C] Some algebraic and topological properties of rings of measurable functions

S Acharyya, SK Acharyya, R Bharati, A RAY - Houst. J. Math, 2021