cancellative semigroup (also called a cancellation semigroup) is a semigroup having the cancellation property. In intuitive terms, the cancellation property...

we mention: regular semigroups, orthodox semigroups, semigroups with involution, inverse semigroups and cancellative semigroups. There are also interesting...

magma are left cancellative, and similar definitions apply for the right cancellative or two-sided cancellative properties. In a semigroup, a left-invertible...

identity). This means that the cancellative elements of any commutative monoid can be extended to a group. The cancellative property in a monoid is not necessary...

Right-cancellative If, for all x, y, z, relation yx = zx implies y = z Cancellative If it is both right-cancellative and left-cancellative A semigroup with...

domain, the multiplication in the wheel no longer results in a cancellative semigroup. The concepts applied to standard arithmetic are similar to those...

satisfied identity (see below). The cancellative semigroups also do not form a variety of algebras, since the cancellation property is not an equation, it...

inverse, and is not even a cancellative semigroup because we cannot cancel the 0 in the equation 1·0 = 0·0. This semigroup arises in various contexts...

completely 0-simple semigroups. All epigroups are also eventually regular semigroups. (also known as π-regular semigroups) A cancellative epigroup is a group...

mathematics, a semigroup is a nonempty set together with an associative binary operation. A special class of semigroups is a class of semigroups satisfying...