Locally free moduleLocally finite type moduleUpper topologyExterior power of a moduleIn this article, first we obtain a number of new results on projective modules and on the upper topology of an ordinal number. Then it is shown that the rank map of a locally finite type projective module is...
PROJECTIVE NONFREE MODULES OVER GROUP RINGS OF SOLVABLE GROUPS For a?rather large class of commutative rings? and locally solvable groups? it is shown that there exist at least countably many nonisomorphic left ideals?... VA Artamonov - Mathematics of the USSR-Sbornik 被引量: 14发表: 1983年...
Abstract We describe the projective soluble abelian groups of class ⩽ 2 in the classes of nonreduced periodic split coperiodic groups and torsion-free separable and vector groups.This is a preview of subscription content, log in via an institution to check access. ...
An algebraic discussion of the “syzygy problem”, which asks over a regular local ring whether every nonfree jth syzygy module must have rank ⩾ j. The corresponding problem for a vector bundle E (not a sum of line bundles) on Pn is this: if Hi(E(m)) = 0 for all i = 1,2,...
分享2赞 非交换几何吧 梱枝りこ NCG(Noncommutative geometry)Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach tononcommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (... 分享1赞 代数吧...
Anti-isomorphisms of endomorphism rings of locally free modules Let (F,A) denote the unitary left module A over the ring with identity F, and E(F,A) its endomorphism ring. (F,A) is locally free if each finite subset of A is contained in a free summand of A. Assume that (F,A)...
Anti-isomorphisms of endomorphism rings of locally free modules Let (F,A) denote the unitary left module A over the ring with identity F, and E(F,A) its endomorphism ring. (F,A) is locally free if each finite subset of A is contained in a free summand of A. Assume that (F,A)...
For integers k ≥ 0 , let C M k ( X ) denote the category of coherent O X -modules F , with locally free dimension dim V ( X ) ( F ) = k = grade ( F ) . We prove that there is an equivalence D b ( C M k ( X ) ) → D k ( V ( X ) ) of the derived...
For a locally q.f.d. module M , there exists a module K ∈σ[M ] such that K ⊕ N is weakly injective in σ[M ], for any N ∈σ[M ]. Similarly, if M is projective and right perfect in σ[M ], then there exists a module K ∈σ[M ] such that K ⊕ N is weakly ...
摘要: A characterization of finitely generated torsion modules of not necessarily finite projective dimension over a CohenMacaulay ring, is given in terms of the non-CohenMacaulay loci and the Fitting invariants of a free resolution of such a module....