An Introduction to the Theory of Matrix Near-Rings

نویسندگان

چکیده

Matrix rings are prominent in abstract algebra. In this paper we give an overview of the theory matrix near-rings. A near-ring differs from a ring that it does not need to be abelian and one distributive laws hold general. We introduce two ways which near-rings can defined discuss structure each. One is as given by Beildeman other Meldrum. his normal arrays under operation multiplication addition. He showed have over if, only ring. case possible obtain proper near-ring. Later, 1986, Meldrum van der Walt mappings direct sum n copies additive group itself. shown obtained. prove several properties, some special matrices show notation introduced make calculations easier, provided small.

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ژورنال

عنوان ژورنال: Advances in Pure Mathematics

سال: 2023

ISSN: ['2160-0368', '2160-0384']

DOI: https://doi.org/10.4236/apm.2023.132004