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ring of germs

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  • Local ring — In abstract algebra, more particularly in ring theory, local rings are certain rings that are comparatively simple, and serve to describe what is called local behaviour , in the sense of functions defined on varieties or manifolds, or of… …   Wikipedia

  • Quotient ring — In mathematics a quotient ring, also known as factor ring or residue class ring, is a construction in ring theory, quite similar to the factor groups of group theory and the quotient spaces of linear algebra. One starts with a ring R and a two… …   Wikipedia

  • Nash functions — In real algebraic geometry, a Nash function on an open semialgebraic subset U ⊂ Rn is an analytic function f: U → R satisfying a non trivial polynomial equation P(x,f(x)) = 0 for all x in U (A semialgebraic subset of Rn is a subset obtained from… …   Wikipedia

  • Nakayama lemma — In mathematics, more specifically modern algebra and commutative algebra, Nakayama s lemma also known as the Krull–Azumaya theorem[1] governs the interaction between the Jacobson radical of a ring (typically a commutative ring) and its finitely… …   Wikipedia

  • List of Marvel Family enemies — Through his adventures, Fawcett Comics/DC Comics superhero Captain Marvel and his Marvel Family gained a host of enemies, including the following: Contents 1 Acrobat 2 Adolf Hitler 3 Amoeba Family …   Wikipedia

  • Stalk (sheaf) — The stalk of a sheaf is a mathematical construction capturing the behaviour of a sheaf around a given point.Motivation and definitionSheaves are defined on open sets, but the underlying topological space X consists of points. It is reasonable to… …   Wikipedia

  • Ringed space — In mathematics, a ringed space is, intuitively speaking, a space together with a collection of commutative rings, the elements of which are functions on each open set of the space. Ringed spaces appear throughout analysis and are also used to… …   Wikipedia

  • Penicillin — Historically, the most famous of all antibiotics, named for the fungal mould Penicillium notatum from which it is derived. Penicillin acts by destroying the cell wall in those bacteria that are sensitive have been developed (not resistant) to its …   Medical dictionary

  • Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… …   Wikipedia

  • Milnor number — In mathematics, and particularly singularity theory, the Milnor number, named after John Milnor, is an invariant of a function germ. If f is a complex valued holomorphic function germ then the Milnor number of f, denoted μ(f), is either an… …   Wikipedia

  • Brass — For other uses, see Brass (disambiguation). Brass die, along with zinc and copper samples. Brass is an alloy of copper and zinc; the proportions of zinc and copper can be varied to create a range of brasses with varying properties.[1] In …   Wikipedia

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