Results 11 to 20 of about 1,787 (266)
The opposite of projectivity by proper classes
Journal of Algebra and Its Applications, 2023 In the last decade, two new approaches have been introduced for the analysis of the projectivity of modules. In this paper, the projectivity of modules has been studied with a new approach by using projectively generated proper classes. As an opposite to projectivity, a module [Formula: see text] is said to be [Formula: see text]-indigent if the ...
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Indecomposable $K_1$ classes on a Surface and Membrane Integrals
Comptes Rendus. Mathématique, 2020 Let $X$ be a projective algebraic surface. We recall the $K$-group $K_{1,\mathrm{ind}}^{(2)}(X)$ of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes.
Chen, Xi +2 more
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Chern Classes of Projective Modules [PDF]
Nagoya Mathematical Journal, 1963 In topology, one can define in several ways the Chern class of a vector bundle over a certain topological space (Chern [2], Hirzebruch [7], Milnor [9], Steenrod [15]). In algebraic geometry, Grothendieck has defined the Chern class of a vector bundle over a non-singular variety.
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Correspondences between convex geometry and complex geometry [PDF]
Épijournal de Géométrie Algébrique, 2017 We present several analogies between convex geometry and the theory of holomorphic line bundles on smooth projective varieties or K\"ahler manifolds. We study the relation between positive products and mixed volumes.
Brian Lehmann, Jian Xiao
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On m-ω1-pω+n-Projective Abelian p-Groups
Demonstratio Mathematica, 2014 For any non-negative integers m and n, we define the classes of m-ω1-pω+n- projective groups and strongly m-ω1-pω+n-projective groups, which properly encompass the classes of ω1-pω+n-projectives introduced by Keef in J. Algebra Numb. Th. Acad. (2010) and
Danchev Peter
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Bundles over Quantum RealWeighted Projective Spaces
Axioms, 2012 The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed.
Tomasz Brzeziński, Simon A. Fairfax
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Polar classes and Segre classes on singular projective varieties [PDF]
Transactions of the American Mathematical Society, 1986 We investigate the relation between polar classes of complex varieties and the Segre class of K K . Johnson [
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A class of projective planes [PDF]
Transactions of the American Mathematical Society, 1965 1. Introduction. Finite non-Desarguesian projective planes have been known for all orders pf, where p is prime, n _ 2, and pn_ 9, except when p = 2 and n is a prime ? 5. In this paper a new class of projective planes is defined, having the orders 2n where n > 5 is not a power of two, thus establishing, in particular, the existence of non-Desarguesian ...
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The role of w-tilting modules in relative Gorenstein (co)homology
Open Mathematics, 2021 Let RR be a ring, CC be a left RR-module and S=EndR(C)S={{\rm{End}}}_{R}\left(C). When CC is semidualizing, the Auslander class AC(S){{\mathcal{A}}}_{C}\left(S) and the Bass class ℬC(R){{\mathcal{ {\mathcal B} }}}_{C}\left(R) associated with CC have been
Bennis Driss +3 more
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On variations of m, n-totally projective Abelian p-groups [PDF]
Mathematica Moravica, 2014 We define some new classes of p-torsion Abelian groups which are closely related to the definitions of n-totally projective, strongly n-totally projective and m, n-totally projective groups introduced by P. Keef and P. Danchev in J. Korean Math.
Danchev Peter
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