SITT-ring properties in bi-amalgamated rings along ideals

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A. Aruldoss
Chelliah Selvaraj

Abstract

Let f: AB and g: AC be two ring homomorphisms and let J and J' be two ideals of B and C, respectively, such that f-1(J) = g-1(J'). In this paper, we give a characterization for the amalgamation of A with B along J with respect to f (denoted by Af J) to be a SITT-ring and also we give a characterization for the bi-amalgamation of A with (B, C) along (J, J') with respect to (f, g) (denoted by Af,g (J, J')) to be a SITT-ring. We also give some characterizations for strong weakly SIT-rings.

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How to Cite
Aruldoss, A., & Selvaraj, C. (2023). SITT-ring properties in bi-amalgamated rings along ideals. Gulf Journal of Mathematics, 15(1), 93-108. https://doi.org/10.56947/gjom.v15i1.1382
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