DUO RING PROPERTY RESTRICTED TO GROUPS OF UNITS

DUO RING PROPERTY RESTRICTED TO GROUPS OF UNITS

We study the structure of right duo ring property when it is restricted within the group of units, and introduce the concept of right unit-duo. This newly introduced property is first observed to be not left-right symmetric, and we examine several conditions to ensure the symmetry. Right unit-duo ri...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2015, 52(3), , pp.489-501
Hauptverfasser: Han, Juncheol, Lee, Yang, Park, Sangwon
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:We study the structure of right duo ring property when it is restricted within the group of units, and introduce the concept of right unit-duo. This newly introduced property is first observed to be not left-right symmetric, and we examine several conditions to ensure the symmetry. Right unit-duo rings are next proved to be Abelian, by help of which the class of noncommutative right unit-duo rings of minimal order is completely determined up to isomorphism. We also investigate some properties of right unit-duo rings which are concerned with annihilating conditions. KCI Citation Count: 4
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.2015.52.3.489