A Note on Rhotrices Ring

Year 2019, Issue: 29, 32 - 41, 30.12.2019

Ummahan Merdinaz Acar , Betül Coşgun Emre Çiftlikli

Abstract

In this paper, we define algebraic
operations on 3-dimensional rhotrices over an arbitrary ring R and show
that the set of 3-dimensional rhotrices over an arbitrary ring R is a
ring according to these operations. We investigate the properties of a
rhotrices ring. Furthermore, we characterize the ideals of a rhotrices ring.
Also, maximal ideals and prime ideals of a rhotrices ring are investigated. An
example of these concepts is presented.

Keywords

Rhotrix, rhotrices ring, ideals of a rhotrices ring

Project Number

17-223

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