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New posts in binary-operations
Is there a deeper reason why exponentiation is not associative?
exponentiation
binary-operations
associativity
Associative, non-commutative, nontrivial operation on the real numbers
examples-counterexamples
binary-operations
associativity
Symbol for "the greater of the two values"
notation
binary-operations
Why should a non-commutative operation even be called "multiplication"?
number-theory
terminology
noncommutative-algebra
binary-operations
How many Groups there are on a finite set?
abstract-algebra
group-theory
finite-groups
binary-operations
groups-enumeration
Find the number of solutions for $\underbrace{x*x*\ldots*x}_{x\text{ 10 times}}=\frac{1}{10}$ with a given binary operation.
binary-operations
Why do empty operations give the identity?
logic
binary-operations
Should we distinguish the minus sign from the negative sign?
notation
binary-operations
elementary-functions
$(\mathbb R, \oplus)$ is a group. Define a multiplication with which we get a field. Where $a \oplus b = a + b +1$
real-analysis
field-theory
binary-operations
Proving this non-empty set and binary operation is a group [duplicate]
group-theory
finite-groups
semigroups
binary-operations
associativity
Prove that a semigroup satisfying $a^pb^q=ba$ is commutative
abstract-algebra
group-theory
semigroups
binary-operations
Is there a name for the operation $f^{-1}(f(x) \oplus f(y))$?
functions
binary-operations
Do binary operations need to be surjective functions?
abstract-algebra
binary-operations
Are the addition and multiplication of real numbers, as we know them, unique?
real-analysis
foundations
binary-operations
Associative operation on a set $S$
abstract-algebra
binary-operations
associativity
A name for this property?
abstract-algebra
terminology
binary-operations
Are all algebraic commutative operations always associative? [duplicate]
linear-algebra
abstract-algebra
examples-counterexamples
binary-operations
associativity
Does this property of two binary operations have a name?
terminology
binary-operations
Non-associative, non-commutative binary operation with a identity
abstract-algebra
examples-counterexamples
binary-operations
associativity
A question from 1989 leningrad mathematical olympiad
abstract-algebra
contest-math
binary-operations
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