Unary: If the element E in A is both a left unary and a right unary, it is called the unary of operation ☆ in A. ..
Obviously, for any x ∈ A, there is e ☆ x = x ☆ e = x
ring
Set < a, △, ☆ > Is an algebraic system with two binary operations △ and *, if applicable:
①& lt; I. △ > It is an abelian group;
②& lt; Answer, ☆ > Is a semigroup;
(3) Operation ☆ Operation△ is distributable, namely:
a ☆ (b △ c) = (a ☆ b) △ (a ☆ c)
(b △ c) ☆ a = (b ☆ a) △ (c ☆ a)
Then it's called
What rings are included:
if
Let v =
Let v =
(x☆y)☆z = x☆(y☆z)
Then v is called semigroup.