Opposite ring

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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 $R$.


  • Igor R. Shafarevich, tr. M. Reid, Basic Notions of Algebra, Springer (2006) ISBN 3-540-26474-4. p.67
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