New posts in Binary Operations

Are all commutative, associative binary operations isomorphic to addition?

If not associative, then what?

Models of a certain (weird) equational theory

Does symbol "$+$" denote an operation in the notation of a complex number: "$a+ib$"? In case it does, which operation does "$+$" denote?

explicit formula for position of lowest bit of binary representation of number

A binary operation on $G$ satisfies $a\cdot(b\cdot c)=(a\cdot b)\cdot (a\cdot c)$ and has an identity, is it a group?

Are there $f:\mathbb{R}^{+}\times\mathbb R^+\rightarrow\mathbb{R}^{+}$ associative and not conjugate to the addition?

Is multiplication of real numbers uniquely defined as being distributive over addition?

Does invertability and closure imply identity?

Why should a non-commutative operation even be called "multiplication"?