Work

A Some Results on Double Cenralizer for Prime and Semiprime Г- rings

Year: 2025

Type: article

Abstract: The goal of this work, is to examine the concept of a double centralizer, and double Jordan centralizer on prime and semiprime Г-rings, this is done by studying examples, remarks and results related to that concepts and looking for the conditions under which T equal S, we prove the results, the first result, let A be a semiprime Γ-ring and T is a left centralizer, S is a right centralizer, and they fulfilling x T(y) = S (x) y, for each x A, Γ, thence (T,S) is a double centralizer. The second, let A be a prime Γ-ring, U be a not equal zero ideal of A, such that, T is a left centralizer, S is a right centralizer, and fulfilling x T(y) = S (x) y, for each x, y U, Γ, thence (T, S) is a double centralizer. The third, let A be a prime Γ-ring, U be a non-zero ideal of A, and we get , if T=S on U, thence T=S on A.

Source: Ibn AL- Haitham Journal For Pure and Applied Science

DOI: 10.30526/38.2.3594

Authors: Aya Hussein, Abdulahman H. Majeed, Shrooq Bahjat Smeein, Azza I.M.S. Abu-Shams

Institutions: University of Baghdad, Al Mamon University College, An-Najah National University, University of Technology and Applied Sciences, Muscat, University of Technology and Applied Sciences

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W6908739434

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