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arXiv · 2104.08907

A non commutative generalization BL-rings

Surdive Atamewoue Tsafack·Arnaud Fobasso Tchinda·Yuming Feng·Selestin Ndjeya
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Abstract

The purpose of this work is to extend the study of the commutative rings whose lattice of ideals can be a structure of BL-algebra as carry out by Heubo et al in 2018, to non commutative rings appointed in the work as pseudo BL-rings. We study and characterize rings whose ideals form a pseudo BL-algebra, we describe them in terms of their subdirectly irreductible factors. We obtain that these are (up to isomorphism) to a subring of a direct sums of unitary special primary rings and discrete valuation ring.

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Surdive Atamewoue Tsafack, Arnaud Fobasso Tchinda, Yuming Feng, Selestin Ndjeya. 2021-04-18. A non commutative generalization BL-rings. https://arxiv.org/abs/2104.08907

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