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Results tagged with ra.rings-and-algebras
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user 3537
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
3
votes
analogue of a set with n binary operations
The study of sets with an arbitrary number of operations is called universal algebra.
Also universal algebra isn't limited to binary operations but studies operations of any arity: nullary, unary, bi …
- 1,190
3
votes
2
answers
1k
views
Cyclic order relation in Zn
The ring Zn:={0,1,..,n-1} under addition and multiplication modulo n.
Suppose a,b,c,x $\in$ Zn are nonzero and the cyclic order R(a,b,c) holds, then under what conditions does R(ax,bx,cx) hold ?
- 1,190