Opposite ring
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
2020 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 $R$.
References
- 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: http://encyclopediaofmath.org/index.php?title=Opposite_ring&oldid=54588
Opposite ring. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Opposite_ring&oldid=54588