Subdirect Sum of Ternary Rings and Subdirectly Irreducible Ternary Rings

Md Salim Masud Molla; P. Mondal; T.K. Dutta

Md Salim Masud Molla Research Scholar, Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, India
P. Mondal Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, India
T.K. Dutta Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata-700019, India

Keywords: Ternary rings, Ternary fields, Subdirectly irreducible ternary rings, Boolean ternary rings.

Abstract

In this paper we introduce the notions of subdirect sum of a family of ternary rings and the representation of a ternary ring as a subdirect sum of a family of ternary rings. We also introduce the notion of subdirectly irreducible ternary ring and characterize it. Lastly we characterize subdirectly irreducible Boolean ternary rings.

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References

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