D. I. C. Mendes, “Involution rings with unique minimal *-biideal”, Algebra Discrete Math., 2016, том 21, выпуск 2,страницы 255

RESEARCH ARTICLE

Involution rings with unique minimal *-biideal

D. I. C. Mendes

Department of Mathematics, University of Beira Interior, Covilhã, Portugal

Аннотация: 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.

Ключевые слова: involution, biideal, nilpotent ring, local ring, subdirectly irreducible ring, Jacobson radical.

MSC: Primary 16W10; Secondary 16D25, 16N20

Поступила в редакцию: 31.10.2012
Исправленный вариант: 04.07.2015

Язык публикации: английский