Gelfand local Bezout domains are elementary divisor rings
Author(s) -
Bohdan Zabavsky,
Oksana Pihura
Publication year - 2015
Publication title -
carpathian mathematical publications
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.63
H-Index - 4
eISSN - 2313-0210
pISSN - 2075-9827
DOI - 10.15330/cmp.7.2.188-190
Subject(s) - mathematics , divisor (algebraic geometry) , elementary proof , commutative ring , local ring , commutative property , pure mathematics , algebra over a field , ring (chemistry) , chemistry , organic chemistry
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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