Principal ideals in matrix rings
Morris Newman, Stephen J. Pierce
Abstract
Open-access reader
Morris Newman, Stephen J. Pierce
Abstract
Open-access reader
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.
Key concepts: Matrix (chemical analysis), Principal (computer security), Mathematics, Pure mathematics, Computer science, Materials science, Computer security, Composite material