Similarities between Semigroup and Special classes of semigroups
Semigroup and Special classes of semigroups have 30 things in common (in Unionpedia): Algebraic structure, American Mathematical Society, Associative property, Band (mathematics), Bicyclic semigroup, Bijection, Binary operation, Cancellative semigroup, Commutative property, Empty semigroup, Free monoid, Function composition, Group (mathematics), Inverse semigroup, Monogenic semigroup, Monoid, Orthodox semigroup, Oxford University Press, Partially ordered set, Regular semigroup, Semigroup Forum, Semigroup with involution, Semilattice, Set (mathematics), Springer Science+Business Media, Subgroup, Subset, Syntactic monoid, Transformation semigroup, Trivial semigroup.
Algebraic structure
In mathematics, and more specifically in abstract algebra, an algebraic structure on a set A (called carrier set or underlying set) is a collection of finitary operations on A; the set A with this structure is also called an algebra.
Algebraic structure and Semigroup · Algebraic structure and Special classes of semigroups ·
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.
American Mathematical Society and Semigroup · American Mathematical Society and Special classes of semigroups ·
Associative property
In mathematics, the associative property is a property of some binary operations.
Associative property and Semigroup · Associative property and Special classes of semigroups ·
Band (mathematics)
In mathematics, a band (also called idempotent semigroup) is a semigroup in which every element is idempotent (in other words equal to its own square).
Band (mathematics) and Semigroup · Band (mathematics) and Special classes of semigroups ·
Bicyclic semigroup
In mathematics, the bicyclic semigroup is an algebraic object important for the structure theory of semigroups.
Bicyclic semigroup and Semigroup · Bicyclic semigroup and Special classes of semigroups ·
Bijection
In mathematics, a bijection, bijective function, or one-to-one correspondence is a function between the elements of two sets, where each element of one set is paired with exactly one element of the other set, and each element of the other set is paired with exactly one element of the first set.
Bijection and Semigroup · Bijection and Special classes of semigroups ·
Binary operation
In mathematics, a binary operation on a set is a calculation that combines two elements of the set (called operands) to produce another element of the set.
Binary operation and Semigroup · Binary operation and Special classes of semigroups ·
Cancellative semigroup
In mathematics, a cancellative semigroup (also called a cancellation semigroup) is a semigroup having the cancellation property.
Cancellative semigroup and Semigroup · Cancellative semigroup and Special classes of semigroups ·
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
Commutative property and Semigroup · Commutative property and Special classes of semigroups ·
Empty semigroup
In mathematics, a semigroup with no elements (the empty semigroup) is a semigroup in which the underlying set is the empty set.
Empty semigroup and Semigroup · Empty semigroup and Special classes of semigroups ·
Free monoid
In abstract algebra, the free monoid on a set is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from that set, with string concatenation as the monoid operation and with the unique sequence of zero elements, often called the empty string and denoted by ε or λ, as the identity element.
Free monoid and Semigroup · Free monoid and Special classes of semigroups ·
Function composition
In mathematics, function composition is the pointwise application of one function to the result of another to produce a third function.
Function composition and Semigroup · Function composition and Special classes of semigroups ·
Group (mathematics)
In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility.
Group (mathematics) and Semigroup · Group (mathematics) and Special classes of semigroups ·
Inverse semigroup
In group theory, an inverse semigroup (occasionally called an inversion semigroup) S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x.
Inverse semigroup and Semigroup · Inverse semigroup and Special classes of semigroups ·
Monogenic semigroup
In mathematics, a monogenic semigroup is a semigroup generated by a single element.
Monogenic semigroup and Semigroup · Monogenic semigroup and Special classes of semigroups ·
Monoid
In abstract algebra, a branch of mathematics, a monoid is an algebraic structure with a single associative binary operation and an identity element.
Monoid and Semigroup · Monoid and Special classes of semigroups ·
Orthodox semigroup
In mathematics, an orthodox semigroup is a regular semigroup whose set of idempotents forms a subsemigroup.
Orthodox semigroup and Semigroup · Orthodox semigroup and Special classes of semigroups ·
Oxford University Press
Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.
Oxford University Press and Semigroup · Oxford University Press and Special classes of semigroups ·
Partially ordered set
In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.
Partially ordered set and Semigroup · Partially ordered set and Special classes of semigroups ·
Regular semigroup
In mathematics, a regular semigroup is a semigroup S in which every element is regular, i.e., for each element a, there exists an element x such that axa.
Regular semigroup and Semigroup · Regular semigroup and Special classes of semigroups ·
Semigroup Forum
Semigroup Forum (print, electronic) is a mathematics research journal published by Springer.
Semigroup and Semigroup Forum · Semigroup Forum and Special classes of semigroups ·
Semigroup with involution
In mathematics, particularly in abstract algebra, a semigroup with involution or a *-semigroup is a semigroup equipped with an involutive anti-automorphism, which—roughly speaking—brings it closer to a group because this involution, considered as unary operator, exhibits certain fundamental properties of the operation of taking the inverse in a group: uniqueness, double application "cancelling itself out", and the same interaction law with the binary operation as in the case of the group inverse.
Semigroup and Semigroup with involution · Semigroup with involution and Special classes of semigroups ·
Semilattice
In mathematics, a join-semilattice (or upper semilattice) is a partially ordered set that has a join (a least upper bound) for any nonempty finite subset.
Semigroup and Semilattice · Semilattice and Special classes of semigroups ·
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
Semigroup and Set (mathematics) · Set (mathematics) and Special classes of semigroups ·
Springer Science+Business Media
Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.
Semigroup and Springer Science+Business Media · Special classes of semigroups and Springer Science+Business Media ·
Subgroup
In group theory, a branch of mathematics, given a group G under a binary operation ∗, a subset H of G is called a subgroup of G if H also forms a group under the operation ∗.
Semigroup and Subgroup · Special classes of semigroups and Subgroup ·
Subset
In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.
Semigroup and Subset · Special classes of semigroups and Subset ·
Syntactic monoid
In mathematics and computer science, the syntactic monoid M(L) of a formal language L is the smallest monoid that recognizes the language L.
Semigroup and Syntactic monoid · Special classes of semigroups and Syntactic monoid ·
Transformation semigroup
In algebra, a transformation semigroup (or composition semigroup) is a collection of functions from a set to itself that is closed under function composition.
Semigroup and Transformation semigroup · Special classes of semigroups and Transformation semigroup ·
Trivial semigroup
In mathematics, a trivial semigroup (a semigroup with one element) is a semigroup for which the cardinality of the underlying set is one.
Semigroup and Trivial semigroup · Special classes of semigroups and Trivial semigroup ·
The list above answers the following questions
- What Semigroup and Special classes of semigroups have in common
- What are the similarities between Semigroup and Special classes of semigroups
Semigroup and Special classes of semigroups Comparison
Semigroup has 118 relations, while Special classes of semigroups has 74. As they have in common 30, the Jaccard index is 15.62% = 30 / (118 + 74).
References
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