semigroup property
41John 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. [… …
42Ergodicity — For other uses, see Ergodic (disambiguation). In mathematics, the term ergodic is used to describe a dynamical system which, broadly speaking, has the same behavior averaged over time as averaged over space. In physics the term is used to imply… …
43Equivalence relation — In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being equivalent in some way. Let a , b , and c be arbitrary elements of some set X . Then a b or a ≡ b denotes that a is… …
44Peano axioms — In mathematical logic, the Peano axioms, also known as the Dedekind Peano axioms or the Peano postulates, are a set of axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used… …
45Graded vector space — In mathematics, a graded vector space is a type of vector space that includes the extra structure of gradation, which is a decomposition of the vector space into a direct sum of vector subspaces. Contents 1 N graded vector spaces 2 General I… …
46Model theory — This article is about the mathematical discipline. For the informal notion in other parts of mathematics and science, see Mathematical model. In mathematics, model theory is the study of (classes of) mathematical structures (e.g. groups, fields,… …
47Dedekind domain — In abstract algebra, a Dedekind domain or Dedekind ring, named after Richard Dedekind, is an integral domain in which every nonzero proper ideal factors into a product of prime ideals. It can be shown that such a factorization is then necessarily …
48William Feller — Infobox Scientist box width = 300px name = Willy Feller image size = 300px caption = Vilim Willy Feller (1906 1970) birth date = July 7 1906 birth place = Zagreb, Croatia death date = January 14 1970 death place = New York, USA residence =… …
49Glossary of group theory — A group ( G , •) is a set G closed under a binary operation • satisfying the following 3 axioms:* Associativity : For all a , b and c in G , ( a • b ) • c = a • ( b • c ). * Identity element : There exists an e ∈ G such that for all a in G , e •… …
50Multiset — This article is about the mathematical concept. For the computer science data structure, see Set (computer science)#Multiset. In mathematics, the notion of multiset (or bag) is a generalization of the notion of set in which members are allowed to …
