(semigroup theory)
31Semiautomaton — In mathematics and theoretical computer science, a semiautomaton is an automaton having only an input, and no output. It consists of a set Q of states, a set Σ called the input alphabet, and a function T: Q × Σ → Q called the transition function …
32Maximal subgroup — Lattice of subgroups of the symmetric group S4 M. s. are A4, three Dih4 and four S3 (Compare: Subgroups of S …
33Free monoid — In abstract algebra, the free monoid on a set A is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from A , with the binary operation of concatenation. It is usually denoted A lowast;. The identity… …
34Matrix unit — In mathematics, a matrix unit is an idealisation of the concept of a matrix, with a focus on the algebraic properties of matrix multiplication. The topic is comparatively obscure within linear algebra, because it entirely ignores the numeric… …
35Halbgruppe — In der Mathematik ist eine Halbgruppe eine algebraische Struktur bestehend aus einer Menge mit einer inneren zweistelligen Verknüpfung, die dem Assoziativgesetz genügt (also ein assoziatives Magma). Sie ist eine Verallgemeinerung einer Gruppe.… …
36Presentation of a monoid — In algebra, a presentation of a monoid (or semigroup) is a description of a monoid (or semigroup) in terms of a set Sigma; of generators and a set of relations on the free monoid Sigma; lowast; (or free semigroup Sigma;+) generated by Sigma;. The …
37Nambooripad order — In mathematics, Nambooripad order[1] (also called Nambooripad s partial order) is a certain natural partial order on a regular semigroup discovered by K S S Nambooripad[2] in late seventies. Since the same partial order was also independently… …
38Information algebra — Classical information theory goes back to Claude Shannon. It is a theory of information transmission, looking at communication and storage. However, it has not been considered so far that information comes from different sources and that it is… …
39John R. Stallings — John Robert Stallings is a mathematician known for his seminal contributions to geometric group theory and 3 manifold topology. Stallings is a Professor Emeritus in the Department of Mathematics and the University of California at Berkeley. [… …
40Cover (algebra) — In abstract algebra, a cover is one instance of some mathematical structure mapping onto another instance, such as a group (trivially) covering a subgroup. This should not be confused with the concept of a cover in topology. When some object X is …
