Volume 18, Issue 2 (10-2023)
IJMSI 2023, 18(2): 211-224 |
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Sazeedeh R, Savoji F, Gholami G. Probability and Measurable Spaces on Modules Category. IJMSI 2023; 18 (2) :211-224
URL: http://ijmsi.ir/article-1-1676-en.html
URL: http://ijmsi.ir/article-1-1676-en.html
Abstract:
In this paper we show that the category of measurable spaces is closed under coproducts in the category of sets. For an arbitrary ring R, we define measurable and probability right R-modules and we prove that the categories of these new objects are closed under kernels, cokernels and pushouts in the category of right R-modules. We also show that the category of measurable right R-modules is closed under coproducts and products in the category of right R-modules. We end this paper by giving some results about stochastically independence in the category of probability right R-modules.
Type of Study: Research paper |
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References
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