SIT-ring and SITT-ring properties in amalgamated and bi-amalgamated algebras along ideals

TL;DR

This paper characterizes when amalgamated and bi-amalgamated algebras along ideals possess SIT-ring and SITT-ring properties, respectively, and explores related strong weakly SIT-ring conditions.

Contribution

It provides new characterizations for amalgamation and bi-amalgamation to be SIT-rings and SITT-rings, advancing understanding of their algebraic structure.

Findings

Characterization of amalgamation as SIT-ring

Characterization of bi-amalgamation as SITT-ring

Conditions for strong weakly SIT-rings

Abstract

In this paper, we give a characterization for the amalgamation to be a SIT-ring and also we give a characterization for the bi-amalgamation to be a SITT-ring. We also give some characterizations for strong weakly SIT-rings.