primitive ring
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Primitive ring — In mathematics, especially in the area of abstract algebra known as ring theory, the concept of left primitive ring generalizes that of matrix algebra. Every matrix ring is the endomorphism ring of a finite dimensional vector space, but a… … Wikipedia
Primitive ideal — In mathematics, a left primitive ideal in ring theory is the annihilator of a simple left module. A right primitive ideal is defined similarly. Note that (despite the name) left and right primitive ideals are always two sided ideals.The quotient… … Wikipedia
Glossary of ring theory — Ring theory is the branch of mathematics in which rings are studied: that is, structures supporting both an addition and a multiplication operation. This is a glossary of some terms of the subject. Contents 1 Definition of a ring 2 Types of… … Wikipedia
Primitive polynomial — In field theory, a branch of mathematics, a primitive polynomial is the minimal polynomial of a primitive element of the finite extension field GF( p m ). In other words, a polynomial F(X) with coefficients in GF( p ) = Z/ p Z is a primitive… … Wikipedia
Ring (Stephen Baxter novel) — Infobox Book name = Ring title orig = translator = image caption = First edition cover author = Stephen Baxter cover artist = country = Great Britain language = English series = Xeelee Sequence genre = Science fiction novel publisher = Voyager… … Wikipedia
primitive culture — Introduction in the lexicon of early anthropologists, any of numerous societies characterized by features that may include lack of a written language, relative isolation, small population, relatively simple social institutions and… … Universalium
Ring theory — In abstract algebra, ring theory is the study of rings algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers. Ring theory studies the structure of rings, their… … Wikipedia
ring money — noun : annular pieces of metal used as money among primitive peoples * * * ring money noun Money in the form of rings • • • Main Entry: ↑ring … Useful english dictionary
Ideal (ring theory) — In ring theory, a branch of abstract algebra, an ideal is a special subset of a ring. The ideal concept allows the generalization in an appropriate way of some important properties of integers like even number or multiple of 3 . For instance, in… … Wikipedia
Semiprimitive ring — In mathematics, especially in the area of algebra known as ring theory, a semiprimitive ring is a type of ring more general than a semisimple ring, but where simple modules still provide enough information about the ring. Important rings such as… … Wikipedia
Prime ring — In abstract algebra, a non trivial ring R is a prime ring if for any two elements a and b of R , if arb = 0 for all r in R , then either a = 0 or b = 0 . Prime ring can also refer to the subring of a field determined by its characteristic. For a… … Wikipedia
