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2014•Journal of Guangxi Teachers Education UniversityRequires access

On Zero-divisors of the Formal Matrix Ring Mn(R;s)

Tang Gao-hu

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Abstract

Let Rbe a commutative ring with identity.In this paper,We investigate the zero-divisors of the formal matrix ring Mn(R;s).We prove that a formal matrix A∈Mn(R;s)is a zero-divisor if and only if the s-determinant of Ais a zero-divisor of R.

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What this paper is about

Let Rbe a commutative ring with identity.In this paper,We investigate the zero-divisors of the formal matrix ring Mn(R;s).We prove that a formal matrix A∈Mn(R;s)is a zero-divisor if and only if the s-determinant of Ais a zero-divisor of R.

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Available abstract

Let Rbe a commutative ring with identity.In this paper,We investigate the zero-divisors of the formal matrix ring Mn(R;s).We prove that a formal matrix A∈Mn(R;s)is a zero-divisor if and only if the s-determinant of Ais a zero-divisor of R.

Key concepts: Zero divisor, Commutative ring, Mathematics, Zero (linguistics), Matrix ring, Ring (chemistry), Divisor (algebraic geometry), Pure mathematics

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