# Around zero-divisor graph of skew polynomial rings over real matrix 2 by 2
> Amir A.

URL kanonis: https://discover.unhas.ac.id/publications/around-zero-divisor-graph-of-skew-polynomial-rings-over-real-matrix-2-by-2
Jurnal / Konferensi: Journal of Physics Conference Series
Tahun terbit: 2019
DOI: https://doi.org/10.1088/1742-6596/1341/6/062022
ISSN: 17426588
Citations: 0

## Authors
- Amir A.

## Abstract
Abstract Let R be an associative ring with non-zero two-sided multiplicative identity. The zero-divisor of R , denoted by Z ( R ). The directed graph Γ( R ) is a graph with vertices Z ( R ) − {0}, where x → y is an edge between distinct vertices x and y if and only if xy = 0. On the other hand, assume that σ is a ring endomorphism on R . The skew polynomial ring R [ x ; σ, ] is the ring of polynomials (with indeterminate x ) over R . In this paper, in the case that R = M 2 (ℝ), we study the zero-divisor graph of the skew polynomial ring R [ x ; σ ].

## Keywords
- Zero divisor
- Mathematics
- Combinatorics
- Multiplicative function
- Reduced ring
- Skew
- Discrete mathematics
- Graph
- Ring (chemistry)
- Polynomial ring
- Principal ideal ring
- Polynomial
- Physics
- Mathematical analysis
- Organic chemistry
- Chemistry
- Astronomy

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Sumber: Discover Unhas — RIMS Universitas Hasanuddin.
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