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Ring (mathematics) - Wikipedia
https://en.wikipedia.org/wiki/Ring_(mathematics)In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. In other words, a ring is a set equipped with two binary operations satisfying properties analogous to those of addition and multiplication of integers.
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Xem thêmA ring is a set R equipped with two binary operations + (addition) and ⋅ (multiplication) satisfying the following three sets of axioms, called the ring axioms
1. R is an...
Xem thêmThe most familiar example of a ring is the set of all integers , consisting of the numbers
... , −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, ...
The axioms of a ring were elaborated as a generalization of familiar properties of addition and multiplication...
Xem thêmDedekind
The study of rings originated from the theory of polynomial rings and the theory of algebraic integers. In 1871, Richard Dedekinddefined the concept of the ring of integers of a number field. In this context, he introduced the terms...
Xem thêmCommutative rings
• The prototypical example is the ring of integers with the two operations of addition and multiplication...
Xem thêmThe concept of a module over a ring generalizes the concept of a vector space (over a field) by generalizing from multiplication of vectors with elements of a field (scalar multiplication) to multiplication with elements of a ring. More precisely, given a
...
Xem thêmDirect product
Let R and S be rings. Then the product R × S can be equipped with the following natural ring structure:
• (r1, s1) +...
Xem thêmProducts and powers
For each nonnegative integer n, given a sequence of n elements of R, one can define the product recursively:...
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https://simple.wikipedia.org/wiki/Ring_(mathematics)In mathematics, a ring is an algebraic structure consisting of a set together with two operations: addition (+) and multiplication (•).These two operations must follow special rules to work together in a ring. Mathematicians use the word "ring" this way because a mathematician named David Hilbert used the German word Zahlring to describe something he was writing about.
Ring (mathematics) - Wikiwand
https://www.wikiwand.com/en/Ring_(mathematics)In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist. In other words, a ring is a set equipped with two binary operations satisfying properties analogous to those of addition and multiplication of integers. Ring elements may be numbers such as integers or complex numbers, but they …
Ring (matematik) – Wikipedia
https://sv.wikipedia.org/wiki/Ring_(matematik)En ring är en algebraisk struktur betecknad R(+,·), på vilken finns två operatorer + och · sådana att:
1. R är en abelsk grupp under addition, +. 2. Multiplikationen ·, är binär, sluten, associativ och distributiv med avseende på addition.
Om multiplikationen har ett neutralt element, ofta betecknat med 1, så sägs ringen vara unitär. Om multiplikationen är kommutativ, så kallas ringen kommutativ.Wikipedia · Nội dung trong CC-BY-SA giấy phépRing - Wikipedia
https://en.wikipedia.org/wiki/RingSounds. Ring, the sound that a bell makes when rung (struck) . Ringtone, the sound that a telephone makes to indicate an incoming call; Ring or ringing, an apparent sound in the ears, which may be a symptom of tinnitus; Places. Ring, County Waterford, a village in Ireland; Ring, Wisconsin, an unincorporated community in the United States; People. Ring (surname)
Ring | Math Wiki | Fandom
https://math.fandom.com/wiki/Ring- A ring is an algebraic structure comprised of a set paired with two operations on the set, which are designated as addition and multiplication. As a group can be conceptualized as an ordered pair of a set and an operation,, a ring can be conceptualized as an ordered triple. A set with addition and multiplication,, is a field if and only if it satisfies the following properties: Commutat…
Ring (Algebra) – Wikipedia
https://de.wikipedia.org/wiki/Ring_(Algebra)- Der Name Ring bezieht sich nicht auf etwas anschaulich Ringförmiges, sondern auf einen organisierten Zusammenschluss von Elementen zu einem Ganzen. Diese Wortbedeutung ist in der deutschen Sprache ansonsten weitgehend verloren gegangen. Einige ältere Vereinsbezeichnungen (wie z. B. Deutscher Ring, Weißer Ring, Maschinenring) oder Ausdrücke …
Ring Theory | Brilliant Math & Science Wiki
https://brilliant.org/wiki/ring-theoryA ring is a set equipped with two operations (usually referred to as addition and multiplication) that satisfy certain properties: there are additive and multiplicative identities and additive inverses, addition is commutative, and the operations are associative and distributive. The study of rings has its roots in algebraic number theory, via rings that are generalizations and extensions of ...
Normal ring - Encyclopedia of Mathematics
https://encyclopediaofmath.org/wiki/Normal_ring11/09/2016 · [a1] N. Bourbaki, "Elements of mathematics. Commutative algebra" , Addison-Wesley (1972) (Translated from French) [a2] M. Nagata, "Local rings" , Interscience (1962 ...
Ring - Wikipedia
https://ro.wikipedia.org/wiki/RingRing. De la Wikipedia, enciclopedia liberă. Sari la navigare Sari la căutare. Ring a fost un ziar tabloid cu distribuție gratuită din București . Ziarul continea subiecte mondene și de investigații și a fost lansat la data de 21 aprilie 2008, de trustul Confort Media deținut de frații Robert și …
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