Affiliation:
1. Sidi Mohamed Ben Abdellah University
Abstract
In this paper, we examine the transfer of the proprety weakly Bézout to the trivial ring extensions. These results provide examples of weakly Bézout rings that are not Bézout rings. We show that the proprety weakly Bézout is not stable under finite direct products. Also, the class of 2- Bézout rings and class of coherent rings are not comparable with the class of weakly Bézout rings.
Publisher
Sociedade Paranaense de Matematica
Reference13 articles.
1. D. D. Anderson, M. Winders, Idealization of a module, Rocky Mountain J. Math, 1(1), 3-56, (2009). https://doi.org/10.1216/JCA-2009-1-1-3
2. A. Azizi and A. Nikseresht, Simplified radical formula in modules, Houston Journal of Mathematics, 38 (2), 333-344, (2012).
3. C. Bakkari and K. Ouarghi, On 2-Bezout Rings, Internationnal Journal of Algebra, Vol. 4(no. 5), 241-245, (2010).
4. E. Bastida and R. Gilmer, Over rings and divisorial ideals of rings of the form D + M, Michigan Math. J. 20, 79-95, (1973). https://doi.org/10.1307/mmj/1029001014
5. D. Costa, Parameterizing families of non-Noetherian rings, Comm. Algebra 22 no. 10, 3997-4011, (1994). https://doi.org/10.1080/00927879408825061
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