Discussiones
Mathematicae General Algebra and Applications 20(2) (2000) 233-253
DOI: https://doi.org/10.7151/dmgaa.1020
LOCALIZATION IN SEMICOMMUTATIVE (m,n)-RINGS
Lacrimioara Iancu Institut Girard Desargues, bat. 101, Université Lyon
1, |
Maria S. Pop North University of Baia Mare, |
Abstract
We give a construction for (m,n)-rings of quotients of a semicommutative (m,n)-ring, which generalizes the ones given by Crombez and Timm and by Paunić for the commutative case. We also study various constructions involving reduced rings and rings of quotients and give some functorial interpretations.
Keywords: (m,n)-rings semicommutative (m,n)-rings, (m,n)-rings of quotients, (m,n)-division rings, (m,n)-semidomains, n-groups, n-semigroups.
1991 Mathematics Subject Classification: 17A42, 20N15.
References
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Received 20 January 1999
Revised 20 September 2000
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