Equivalent definitions of a perfect system and some of its properties

DOI10.1007/BF01158524zbMath0483.16001MaRDI QIDQ1163074

V. P. Elizarov

Publication date: 1981

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

local ringring of quotientsleft annihilatorprincipal ringstrong filters of right ideals

Mathematics Subject Classification ID

Noncommutative local and semilocal rings, perfect rings (16L30) Divisibility, noncommutative UFDs (16U30) Localization and associative Noetherian rings (16P50)

Cites Work

• Noncommutative localization and sheaves
• Extension of ideals under symmetric localization
• Axiomatic definition of a quotient ring
• Torsion theories, additive semantics, and rings of quotients. With an appendix by H. H. Storrer on torsion theories and dominant dimensions
• Quelques observations sur les épimorphismes plats (à gauche) d'anneaux
• Local Quotient Rings
• Rings of quotients of associative rings
• A Note on Non-Commutative Noetherian Rings
• Rings and modules of quotients
• Rings and modules of quotients

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