algebraic set

  • 91point-set topology — noun The general field of topology, not restricting attention to specific classes of spaces, and not using algebraic topology …

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  • 92List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …

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  • 93Field of definition — In mathematics, the field of definition of an algebraic variety V is essentially the smallest field to which the coefficients of the polynomials defining V can belong. Given polynomials, with coefficients in a field K , it may not be obvious… …

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  • 94Zariski topology — In algebraic geometry, the Zariski topology is a particular topology chosen for algebraic varieties that reflects the algebraic nature of their definition. It is due to Oscar Zariski and took a place of particular importance in the field around… …

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  • 95Théorie des catégories — La théorie des catégories étudie les structures mathématiques et les relations qu elles entretiennent. Les catégories sont utilisées dans la plupart des branches mathématiques et dans certains secteurs de l informatique théorique et en… …

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  • 96Spectrum of a ring — In abstract algebra and algebraic geometry, the spectrum of a commutative ring R , denoted by Spec( R ), is defined to be the set of all proper prime ideals of R . It is commonly augmented with the Zariski topology and with a structure sheaf,… …

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  • 97Tarski–Seidenberg theorem — In mathematics, the Tarski–Seidenberg theorem states that a set in n +1 dimensional space defined by polynomial identities and inequalities can be projected down onto n dimensional space, and the resulting set is still definable in terms of… …

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  • 98Homogeneous coordinate ring — In algebraic geometry, the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient ring R = K[X0, X1, X2, ..., XN]/I where I is the homogeneous ideal… …

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  • 99Character variety — In the mathematics of moduli theory, given an algebraic, reductive, Lie group G and a finitely generated group π, the G character variety of π is a space of equivalence classes of group homomorphisms More precisely, G acts on by conjugation and… …

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  • 100Wikipedia:Manual of Style/Mathematics — This guideline is a part of the English Wikipedia s Manual of Style. Use common sense in applying it; it will have occasional exceptions. Please ensure that any edits to this page reflect consensus. Shortcuts: WP:MSM MO …

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