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Algebra and Discrete Mathematics, 2016, Volume 21, Issue 2, Pages 255–263 (Mi adm566)  
RESEARCH ARTICLE

Involution rings with unique minimal *-biideal

D. I. C. Mendes

Department of Mathematics, University of Beira Interior, Covilhã, Portugal
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Abstract: The structure of certain involution rings which have exactly one minimal *-biideal is determined. In addition, involution rings with identity having a unique maximal biideal are characterized.
Keywords: involution, biideal, nilpotent ring, local ring, subdirectly irreducible ring, Jacobson radical.
Funding agency Grant number
Federación Española de Enfermedades Raras
Fundação para a Ciência e a Tecnologia PEst-OE/MAT/UI0212/2013
Research supported by FEDER and Portuguese funds through the Centre for Mathematics (University of Beira Interior) and the Portuguese Foundation for Science and Technology (FCT- Fundação para a Ciência e a Tecnologia), Project PEst-OE/MAT/UI0212/2013.
Received: 31.10.2012
Revised: 04.07.2015
Bibliographic databases:
Document Type: Article
MSC: Primary 16W10; Secondary 16D25, 16N20
Language: English
Citation: D. I. C. Mendes, “Involution rings with unique minimal *-biideal”, Algebra Discrete Math., 21:2 (2016), 255–263
Citation in format AMSBIB
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\by D.~I.~C.~Mendes
\paper Involution rings with unique minimal *-biideal
\jour Algebra Discrete Math.
\yr 2016
\vol 21
\issue 2
\pages 255--263
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3537449}
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