(semigroup theory)

  • 121Pell's equation — is any Diophantine equation of the form:x^2 ny^2=1,where n is a nonsquare integer and x and y are integers. Trivially, x = 1 and y = 0 always solve this equation. Lagrange proved that for any natural number n that is not a perfect square there… …

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  • 122Subgroup — This article is about the mathematical concept For the galaxy related concept, see Galaxy subgroup. Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum …

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  • 123Multiset — 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 …

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  • 124Anatoly Maltsev — Anatoly Ivanovich Maltsev (Malcev) (Russian: Анатолий Иванович Мальцев 27 November N.S./14 November O.S. 1909 7 June 1967) was born in Misheronsky, near Moscow, and died in Novosibirsk, USSR. He was a mathematician noted for his work on the… …

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  • 125Pseudo-ring — In abstract algebra, a rng (also called a pseudo ring or non unital ring) is an algebraic structure satisfying the same properties as a ring, except that multiplication need not have an identity element. The term rng (pronounced rung) is meant to …

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  • 126Quasigroup — In mathematics, especially in abstract algebra, a quasigroup is an algebraic structure resembling a group in the sense that division is always possible. Quasigroups differ from groups mainly in that they need not be associative. A quasigroup with …

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  • 127Dedekind 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 …

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  • 128James Alexander Green — Infobox Scientist box width = 26em name = Sandy Green image size = 200 px caption = birth date = Birth year and age|1926 birth place = Rochester, New York, USA death date = death place = residence = Oxford, England citizenship = British… …

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