👉 Non-commutative mathematics is a branch of mathematics that deals with mathematical structures that are not commutative, meaning they do not commute between their corresponding elements. In other words, these structures are not equivalent in terms of their properties under multiplication. Non-commutativity occurs when an element's action on another element can be expressed as the product of two different operations rather than the same one. This property is often used to define noncommutative rings and algebras, which are mathematical objects
