A NON-COMMUTATIVE GENERALIZATION OF MTL-RINGS

Document Type : Original Manuscript

Authors

Department of Mathematics of H.T.T.C., University of Yaounde I, P.O. Box 47, Yaounde, Cameroon.

Abstract

The current work extends the class of commutative MTL-rings established by the authors to the non-commutative ones. That class of rings will be named generalized MTL-rings since they are not necessary commutative. We show that in the non-commutative case, a local ring with identity is a generalized MTL-ring if and only if it is an ideal chain ring. We prove that the ring of matrices over an MTL-ring is a non-commutative MTL-ring. We also study their representation in terms of subdirect irreducibility.

Keywords

References

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Journal of Algebraic Systems
Volume 13, Issue 3
November 2025
Pages 123-136

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