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Statements

Subject Item
dbr:Primitive_ring
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Primitive ring 原始環 원시환 Anel primitivo
rdfs:comment
Na subárea da álgebra abstrata conhecida como teoria de anéis, um anel primitivo à esquerda é um anel que possui um módulo à esquerda fiel simples. Entre os exemplos bem conhecidos estão os de espaços vetoriais sobre corpos de característica zero. 環論において、左原始環(ひだりげんしかん、英: left primitive ring)とは、忠実な単純左加群をもつ環である。よく知られた例として、ベクトル空間の自己準同型環や、標数0の体上のワイル代数がある。 환론에서 원시환(原始環, 영어: primitive ring)은 단순 가군으로서 완전히 나타낼 수 있는 환이다. 이러한 환들은 나눗셈환 위의 선형 변환들의 환에 가깝다. In the branch of abstract algebra known as ring theory, a left primitive ring is a ring which has a faithful simple left module. Well known examples include endomorphism rings of vector spaces and Weyl algebras over fields of characteristic zero.
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환론에서 원시환(原始環, 영어: primitive ring)은 단순 가군으로서 완전히 나타낼 수 있는 환이다. 이러한 환들은 나눗셈환 위의 선형 변환들의 환에 가깝다. 環論において、左原始環(ひだりげんしかん、英: left primitive ring)とは、忠実な単純左加群をもつ環である。よく知られた例として、ベクトル空間の自己準同型環や、標数0の体上のワイル代数がある。 Na subárea da álgebra abstrata conhecida como teoria de anéis, um anel primitivo à esquerda é um anel que possui um módulo à esquerda fiel simples. Entre os exemplos bem conhecidos estão os de espaços vetoriais sobre corpos de característica zero. In the branch of abstract algebra known as ring theory, a left primitive ring is a ring which has a faithful simple left module. Well known examples include endomorphism rings of vector spaces and Weyl algebras over fields of characteristic zero.
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