WebOct 13, 2024 · 1 No. Consider for instance the ring C [ X, Y] / ( X Y). It’s not integral but its spectrum is connected, as its subspace of maximal elements (which is dense) is the reunion of two intersecting lines in the Zariski topology. WebFeb 4, 2016 · There is a bijection between closed points of an affine variety and maximal ideals of its affine coordinate ring. Hence you can visualize the maximal spectrum as the variety with the usual Zariski topology (all points being closed).
[0810.4535] Units of ring spectra and Thom spectra - arXiv.org
WebFeb 4, 2024 · A ring (unital and not-necessarily commutative) is an abelian group R equipped with an element 1 ∈ R a bilinear map, hence a group homomorphism ⋅: R ⊗ R → R out of the tensor product of abelian groups, such that ⋅ is associative and unital with respect to 1. … WebJun 22, 2024 · Generally, the dual geometric meaning of formal ring completion is in formal geometry: the proper geometric spectrum of a formally completed ring is known as a formal spectrum Spf (R,I). Geometrically this is the formal neighbourhood of the spectrum Spec (R/I) inside Spec (R). Spec (R/I)\hookrightarrowSpf (\widehat R_I)\hookrightarrowSpec (R)\,. indian weathervane
Moduli Spaces of Commutative Ring Spectra
WebOct 24, 2008 · We recall (from May, Quinn, and Ray) that a commutative ring spectrum A has a spectrum of units gl (A). To a map of spectra f: b -> bgl (A), we associate a … Webcommutative ring spectra, which are commutative algebras in a suitable model cat-egory of global spectra. The zeroth homotopy groups of such an ultra-commutative ring spectrum form a so-called global power functor, the global analogue of a G-Tambara functor for fixed G, in particular coming with norm maps for any inclusion H⊂ Gof finite groups. WebMay 6, 2024 · Given a commutative ring R R, its spectrum is the topological space whose points are the prime ideals of R R and whose topology is the Zariski topology on these … indian weather report today