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Dual Zariski Topology on Comultiplication Modules
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 This paper dealswith dual Zariski topology on comultiplication modules. We define a subspacetopology of dual Zariski topology on comultiplication modules and study someproperties of this subspace topology.
Ortaç Öneş
doaj +5 more sources
A dual Zariski topology for modules [PDF]
Topology and its Applications, 2011 We introduce a dual Zariski topology on the spectrum of fully coprime $R$-submodules of a given duo module $M$ over an associative (not necessarily commutative) ring $R$. This topology is defined in a way dual to that of defining the Zariski topology on the prime spectrum of $R$.
Jawad Abuhlail
exaly +5 more sources
On the upper dual Zariski topology
Filomat, 2020 Let R be a ring with identity and M be a left R-module. The set of all second submodules of M is called the second spectrum of M and denoted by Specs(M). For each prime ideal p of R we define Specsp(M) := {S? Specs(M) : annR(S) = p}. A second submodule Q of M is called an upper second submodule if there exists a prime ideal p of R such that
Seçil Çeken
exaly +6 more sources
On A Subspace Of Dual Zariski Topology On A Subspace Of Dual Zariski Topology
AIP Conference Proceedings, 2017 Let R be a commutative ring with identity and S pee (M) (resp. Min(M)) denote the set of all second (resp minimal) submodules of a non-zero R-module M. In this paper, we investigate several properties of the subspace topology on Min(M) induced by the dual Zariski on S pee(M) and determine some cases in which Min(M) is a max-spectral space.
Seçil Çeken
openaire +3 more sources
Hochster duality in derived categories and point-free reconstruction of schemes [PDF]
, 2015 For a commutative ring $R$, we exploit localization techniques and point-free topology to give an explicit realization of both the Zariski frame of $R$ (the frame of radical ideals in $R$) and its Hochster dual frame, as lattices in the poset of ...
Kock, Joachim, Pitsch, Wolfgang
core +1 more source
Algebraic Boundaries of Convex Semi-algebraic Sets [PDF]
, 2014 We study the algebraic boundary of a convex semi-algebraic set via duality in convex and algebraic geometry. We generalize the correspondence of facets of a polytope to the vertices of the dual polytope to general semi-algebraic convex bodies.
Sinn, Rainer
core +2 more sources
Superisolated Surface Singularities [PDF]
, 2005 In this survey, we review part of the theory of superisolated surface singularities (SIS) and its applications including some new and recent developments.
Bartolo, E. Artal +2 more
core +2 more sources
The dual boundary complex of the $SL_2$ character variety of a punctured sphere [PDF]
, 2015 Suppose $C_1,\ldots , C_k$ are generic conjugacy classes in $SL_2({\mathbb C})$. Consider the character variety of local systems on ${\mathbb P}^1-\{ y_1,\ldots , y_k\}$ whose monodromy transformations around the punctures $y_i$ are in the respective ...
Simpson, Carlos
core +5 more sources
Relative Property (T) and Linear Groups [PDF]
, 2005 Relative property (T) has recently been used to construct a variety of new rigidity phenomena, for example in von Neumann algebras and the study of orbit-equivalence relations.
Fernos, Talia
core +3 more sources
A Tannakian classification of torsors on the projective line [PDF]
, 2017 In this small note we present a Tannakian proof of the theorem of Grothendieck-Harder on the classification of torsors under a reductive group on the projective line over a field.Comment: 13 pages; any comments or hints to existing literature ...
Anschütz, Johannes
core +3 more sources