In mathematics, a numerical semigroup is a special kind of a semigroup. Its underlying set is the set of all nonnegative integers except a finite number...

the theory of numerical semigroups, the genus of a numerical semigroup is the cardinality of the set of gaps in the numerical semigroup Genus of a quadratic...

the subset. In this case, it is called a "numerical semigroup". A numerical semigroup is called an Arf semigroup if, for every three elements x, y, and z...

field theory) Artin conductor, of a Galois group Conductor of a Numerical semigroup Electrical conductor Electrical resistivity and conductivity Electrical...

19-23). Postage stamp problem Change-making problem Sylver coinage Numerical semigroup The original source is sometimes incorrectly cited as, in which the...

set, and can be described mathematically as the set of gaps of a numerical semigroup. Some of these finite positions, including all of the positions after...

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

with addition form a monoid, the identity element being 0. Monoids are semigroups with identity. Such algebraic structures occur in several branches of...

gives the non-gaps a numerical semigroup structure, and an old question of Adolf Hurwitz asked for a characterization of the semigroups occurring. A new necessary...

easy to see that this generates a semigroup in some sense—it is not absolutely integrable and so cannot define a semigroup in the above strong sense. Many...

science such as automata theory, syntactic semigroup, model theory and semigroup theory. The class of regular numerical predicate is denoted C l c a {\displaystyle...

computational algorithms that rely on repeated random sampling to obtain numerical results. The underlying concept is to use randomness to solve problems...

Luca (2013-11-14). "On the variety of linear recurrences and numerical semigroups". Semigroup Forum. 88 (3): 569–574. arXiv:1207.0111. doi:10.1007/s00233-013-9551-2...

additional assumptions, be extended to nonlinear systems as well as to semigroup theory, where the crucial advantage of the logarithmic norm is that it...

to the case of any commutative semigroup. Without the cancellation property the semigroup homomorphism from the semigroup into the group may be non-injective...

Lindelöf's lemma Urysohn's lemma Tube lemma Morse lemma Knaster–Kuratowski–Mazurkiewicz lemma Dehn's lemma Ellis–Numakura lemma (topological semigroups)...

more elements of A, with the binary operation of concatenation. The free semigroup A+ is the subsemigroup of A* containing all elements except the empty...

abundant in mathematics; in fact, many algebraic structures (such as semigroups and categories) explicitly require their binary operations to be associative...

The Trotter–Kato theorem can be used for approximation of linear C0-semigroups. Time-evolving block decimation Cohen et al. 1982 Hall 2015 Theorem 2...

May 1936 – 26 December 2011) was a Scottish mathematician and prominent semigroup theorist. Howie was educated at Robert Gordon's College, Aberdeen, the...

automata transformations or as semigroup homomorphisms, when the state space, S, of the automaton is defined as a semigroup Sg. Monoids are also considered...

structures with a single binary operation are: Magma Quasigroup Monoid Semigroup Group Examples involving several operations include: Ring Field Module...

groupoid: S and a single binary operation over S. Semigroup: an associative magma. Monoid: a semigroup with identity element. Group: a monoid with a unary...

Journal of Mathematics Russian Mathematical Surveys Scripta Mathematica Semigroup Forum SIAM Journal on Applied Mathematics SIAM Journal on Discrete Mathematics...

abstract algebra, a Moore–Penrose inverse may be defined on a *-regular semigroup. This abstract definition coincides with the one in linear algebra. Drazin...

defined in this way are continuous semigroups with parameter a {\displaystyle a} , of which the original discrete semigroup of { D n ∣ n ∈ Z } {\displaystyle...

Drazin gave his name to a type of generalized inverse in ring theory and semigroup theory he introduced in 1958, now known as the Drazin inverse. It was...

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

Exponential integrators are a class of numerical methods for the solution of ordinary differential equations, specifically initial value problems. This...

, D ) {\displaystyle (\Phi ,D)} : Where Φ {\displaystyle \Phi } is a semigroup, representing combination or aggregation of information, and D {\displaystyle...