Paper Title:

Semicommutative and Semiprime Properties in Bi-amalgamated Rings

Author(s):

¹A. Aruldoss, ²C. Selvaraj, ³G. E. Chatzarakis, ⁴S. L. Panetsos, ⁵U. Leerawat

¹ Department of Mathematics,
Mepco Schlenk Engineering College,
Sivakasi-626 005, Tamilnadu,
India.
aruldossa529@gmail.com

² Department of Mathematics,
Periyar University,
Salem - 636 011, Tamilnadu,
India.
selvavlr@yahoo.com

 ^3,4 Department of Electrical and Electronic Engineering Educators,
School of Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
geaxatz@otenet.gr spanetsos@aspete.gr

⁵ Department of Mathematics,
Faculty of Science, Kasetsart University,
Bangkok 10900,
Thailand.
fsciutl@ku.ac.th

Abstract:

Let α: A→ B and β: A→ C be two ring homomorphisms and I and I' be two ideals of B and C, respectively, such that α^{-1}(I)=β^{-1}(I'). In this paper, we give a characterization for the bi-amalgamation of A with (B, C) along (I, I') with respect to (α, β) (denoted by A⋈^{(α, β)}(I, I')) to be a SIT, semiprime, semicommutative and semiregular. We also give some characterization for these rings.

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