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MATRIX RINGS AND ITS TOTAL RINGS OF FRACTIONS
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  • Journal title : Honam Mathematical Journal
  • Volume 31, Issue 4,  2009, pp.515-527
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2009.31.4.515
 Title & Authors
MATRIX RINGS AND ITS TOTAL RINGS OF FRACTIONS
Lee, Sang-Cheol;
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 Abstract
Let R be a commutative ring with identity. Then we prove { and det } where U(R) denotes the set of all units of R. In particular, it will be proved that the full matrix ring over a field F is the disjoint union of the general linear group of degree n over the field F and the set of all zero-divisors of . Using the result and universal mapping property we prove that is its total ring of fractions.
 Keywords
localizations;matrix rings;the total rings of fractions;
 Language
English
 Cited by
 References
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