1969•Journal of Research of the National Bureau of Standards Section B Mathematical SciencesOpen access

Principal ideals in matrix rings

Morris Newman, Stephen J. Pierce

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Abstract

It is shown that every left ideal of the complete matrix ring of a given order over a principal ideal ring is principal, and a partial converse is proven.

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It is shown that every left ideal of the complete matrix ring of a given order over a principal ideal ring is principal, and a partial converse is proven.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

It is shown that every left ideal of the complete matrix ring of a given order over a principal ideal ring is principal, and a partial converse is proven.

Key concepts: Matrix (chemical analysis), Principal (computer security), Mathematics, Pure mathematics, Computer science, Materials science, Computer security, Composite material

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