Opposite ring

From Encyclopedia of Mathematics
Revision as of 21:49, 29 November 2014 by Richard Pinch (talk | contribs) (Start article: Opposite ring)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

2010 Mathematics Subject Classification: Primary: 16-XX [MSN][ZBL]

of a ring $R$

The ring $R^{\mathrm{op}}$ having the same additive group as $R$ but with multiplication $\circ$ defined by $x \circ y = y \cdot x$ where $\cdot$ is multiplication in $R$.


  • Igor R. Shafarevich, tr. M. Reid, Basic Notions of Algebra, Springer (2006) ISBN 3-540-26474-4. p.67
How to Cite This Entry:
Opposite ring. Encyclopedia of Mathematics. URL: