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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...

property (or is cancellative) if it is both left- and right-cancellative. A magma (M, ∗) has the left cancellation property (or is left-cancellative) if all a...

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...

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

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...

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...

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

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

notion of nearness Artur Hideyuki Tomita. On sequentially compact both-sides cancellative semigroups with sequentially continuous addition. v t e v t e...

an I-semigroup and a *-semigroup. A class of semigroups important in semigroup theory are completely regular semigroups; these are I-semigroups in which...

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

In mathematics, an automatic semigroup is a finitely generated semigroup equipped with several regular languages over an alphabet representing a generating...

that the word problem for groups is unsolvable, using Turing's cancellation semigroup result.: 354  The proof contains a "Principal Lemma" equivalent...

partial groupoid ( G , ∘ ) {\displaystyle (G,\circ )} is called a partial semigroup if the following associative law holds: For all x , y , z ∈ G {\displaystyle...

semigroup theory, a Rees factor semigroup (also called Rees quotient semigroup or just Rees factor), named after David Rees, is a certain semigroup constructed...

domain and S {\displaystyle S} is a torsion-free cancellative GCD-semigroup. A GCD-semigroup is a semigroup with the additional property that for any a {\displaystyle...

groups. Artur Hideyuki Tomita. On sequentially compact both-sides cancellative semigroups with sequentially continuous addition. A. V. Arhangelskii. Topological...

lemma Semigroup Subsemigroup Free semigroup Green's relations Inverse semigroup (or inversion semigroup, cf. [1]) Krohn–Rhodes theory Semigroup algebra...

virtue of an equation being a quasi-identity for which n = 0. The cancellative semigroups form a quasivariety. Let K be a quasivariety. Then the class of...