Bohdan Zabavsky, Oksana Pihura
Abstract
We introduce the Gelfand local rings. In the case of commutative Gelfand local Bezout domains we show that they are an elementary divisor domains.
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We introduce the Gelfand local rings. In the case of commutative Gelfand local Bezout domains we show that they are an elementary divisor domains.
Key concepts: Mathematics, Divisor (algebraic geometry), Elementary proof, Commutative ring, Local ring, Commutative property, Pure mathematics, Algebra over a field