In mathematics, specifically abstract algebra, the opposite of a ring is another ring with the same elements and addition operation, but with the multiplication...

groups, rings, and algebras can be viewed as categories with a single object. The construction of the opposite category generalizes the opposite group,...

well, and is known in ring theory, too, where it is applied to the multiplicative semigroup of the ring to give the opposite ring. Again this process can...

ring, we can define the opposite ring Rop, which has the same underlying set and the same addition operation, but the opposite multiplication: if ab =...

simple ring. A ring R is simple if and only if its opposite ring Ro is simple. An example of a simple ring that is not a matrix ring over a division ring is...

Vienna Ring Road (German: Ringstraße, pronounced [ʁɪŋˌʃtʁaːsə] , lit. ring road) is a 5.3 km (3.3 mi) circular grand boulevard that serves as a ring road...

The Lord of the Rings is a trilogy of epic fantasy adventure films directed by Peter Jackson, based on the novel The Lord of the Rings by British author...

and essentially "carves out" the ring of the disc as it rotates. Oppositely, ring galaxies have been found where the bar has collapsed or disintegrated...

The Ring of Kerry (Irish: Mórchuaird Chiarraí) is a 179-kilometre-long (111-mile) circular tourist route in County Kerry, south-western Ireland. Clockwise...

called a ring interferometer or Sagnac interferometer. A beam of light is split and the two beams are made to follow the same path but in opposite directions...