Orders of direct products of skew fields

DOI10.1007/BF01669492zbMath0476.16003MaRDI QIDQ1160262

R. Gonchigdorzh

Publication date: 1981

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187121

zbMATH Keywords

classical right quotient ringmaximal annihilatorAbian orderdirect product of skew fieldsright Ore ring

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Topological and ordered rings and modules (16W80) Chain conditions on annihilators and summands: Goldie-type conditions (16P60) Localization and associative Noetherian rings (16P50) Division rings and semisimple Artin rings (16Kxx)

Related Items (2)

Treelike decomposability of automorphism groups of free groups ⋮ Orders of direct products of simple Artinian rings

Cites Work

• Rings of quotients of rings without nilpotent elements
• Abian's order relation and orthogonal completions for reduced rings
• Order in a Special Class of Rings and a Structure Theorem
• Unique Subdirect Sums of Prime Rings
• Rings and modules of quotients
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