几乎最大链环上的一个音符

Rendiconti del Seminario Matematico della Università di Padova Pub Date : 2020-12-10 DOI:10.4171/rsmup/52

U. Albrecht, Francisco Javier Santillán-Covarrubias

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引用次数: 1

摘要

讨论了非交换环中的极大环和几乎极大环。研究了链环中的湮灭子理想及其与自注入概念的关系。特别地，一个双面链环是右自内射的当且仅当它是右共霍普夫环且是左极大环。最后，讨论了链环的局部化问题。数学学科分类(2010)。主要16翻译;二次16 d50;16 p70

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A note on almost maximal chain rings

This paper discusses maximal and almost maximal rings in a noncommutative setting. Annihilators ideals in chain rings and their relationship to the concept of self-injectivity are investigated. In particular, a two-sided chain ring is right self-injective if and only if it is right co-Hopfian and a left maximal ring. Finally, localizations of chain rings are discussed. Mathematics Subject Classification (2010). Primary 16L30; Secondary 16D50; 16P70

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Rendiconti del Seminario Matematico della Università di Padova

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