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14 relations: Band (mathematics), Binary operation, Category theory, Catholic semigroup, Cayley table, E-semigroup, Idempotence, Inverse semigroup, K. S. S. Nambooripad, Mathematics, Pullback, Regular semigroup, Semigroup, 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).
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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.
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Category theory
Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).
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Catholic semigroup
In mathematics, a catholic semigroup is a semigroup in which no two distinct elements have the same set of inverses.
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Cayley table
A Cayley table, after the 19th century British mathematician Arthur Cayley, describes the structure of a finite group by arranging all the possible products of all the group's elements in a square table reminiscent of an addition or multiplication table.
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E-semigroup
In the area of mathematics known as semigroup theory, an E-semigroup is a semigroup in which the idempotents form a subsemigroup.
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Idempotence
Idempotence is the property of certain operations in mathematics and computer science that they can be applied multiple times without changing the result beyond the initial application.
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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.
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K. S. S. Nambooripad
K.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Pullback
In mathematics, a pullback is either of two different, but related processes: precomposition and fibre-product.
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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.
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Semigroup
In mathematics, a semigroup is an algebraic structure consisting of a set together with an associative binary operation.
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Special classes of semigroups
In mathematics, a semigroup is a nonempty set together with an associative binary operation.
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