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arXiv · 2507.14930

Some Results on Triangular Coefficient Matrix Rings

Peter Danchev·Gholamreza Karamali·Hessam Hosseinnezhad·Omis Hasanzadeh
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Abstract

In this paper, we introduce the concept of a {\it triangular coefficient matrix ring} and investigate the structure of its ideals. We then characterize the radicals of the ring \( R_{h}[x]/\langle x^{n} \rangle \) for every positive integer \( n \), where \( R_{h}[x] \) denotes the Hurwitz polynomial ring and \( \langle x^{n} \rangle \) represents the ideal of this ring generated by \( x^{n} \). Furthermore, we explore several properties that are transferred between the base ring \( R \) and the matrix ring \( H_{n}(R) \) which is a proper subring of the triangular coefficient matrix ring.

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Peter Danchev, Gholamreza Karamali, Hessam Hosseinnezhad, Omis Hasanzadeh. 2025-07-20. Some Results on Triangular Coefficient Matrix Rings. https://arxiv.org/abs/2507.14930

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