Essays about: "quotient ring"
Found 4 essays containing the words quotient ring.
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1. Zero Spectrum Subalgebras of K[x] Described by Higher Derivatives
University essay from Lunds universitet/Matematik LTHAbstract : Unital subalgebras of finite codimension in the polynomial ring $\mathbb{K}[x]$ are described by a finite number of so called subalgebra conditions over a finite set in $\mathbb{K}$ named the subalgebra spectrum. Restricting attention to subalgebras whose spectrum is the singleton $\{0\}$ reveals a rather well behaved class of subalgebras, called almost monomial from the fact that these contain an ideal consisting of all monomials above a certain degree. READ MORE
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2. Twisted derivations, quasi-hom-Lie algebras and their quasi-deformations
University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikationAbstract : Quasi-hom-Lie algebras (qhl-algebras) were introduced by Larsson and Silvestrov (2004) as a generalisation of hom-Lie algebras, which are a deformation of Lie algebras. Lie algebras are defined by an operation called bracket, [·,·], and a three-term Jacobi identity. READ MORE
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3. Grading of the affine line and its Quot scheme
University essay from KTH/Matematik (Inst.)Abstract : For a field kand a grading of the polynomial ringk[t]with Hilbert functionh, weconsider the Quot functor QuothV , where V = ? di =1k[t]is a finitely generated and free k[t]-module. The Quot functor parametrizes, for any k-algebra B, homogeneous B [t]-submodulesN⊆B⊗kVsuch that the graded components of the quotient( B⊗kV)/Nare locally freeB-modules of rank given byh. READ MORE
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4. Höggallring i praktiskt skogsbruk : beskrivning av en gallringsmodell för granskog som tillämpas på Trolleholms Gods
University essay from SLU/Southern Swedish Forest Research CentreAbstract : When Norway spruce is planted with large initial spacing and grows on highly productive sites in southern Sweden, a high proportion of the stems gets broad annual rings. The thinning programme carried out at the estate of Trolleholm aims to extract stems with too broad ring width. READ MORE
