搜索结果: 1-15 共查到“equivalences”相关记录17条 . 查询时间(0.093 秒)
In the present paper we introduce some sufficient conditions and a procedure for checking whether, for a given function, CCZ-equivalence is more general than EA-equivalence together with taking invers...
Equivalences and Black-Box Separations of Matrix Diffie-Hellman Problems
Matrix Diffie-Hellman Problems Black-Box Reductions Decisional Linear Assumption
2017/2/20
In this paper we provide new algebraic tools to study the relationship between different Matrix Diffie-Hellman (MDDH) Problems, which are recently introduced as a natural generalization of the so-call...
Integral and series transformations via Ramanujan's identities and Salem's type equivalences to the Riemann hypothesis
Mellin transform Riemann zeta-function Kontorovich-Lebedev transform modified Bessel functions Lambert transform
2012/6/21
We consider integral and series transformations, which are associated with Ramanujan's identities, involving various arithmetic functions and a ratio of products of Riemann's zeta functions of differe...
Window shifts, flop equivalences and Grassmannian twists
Window shifts flop equivalences Grassmannian twists Algebraic Geometry
2012/6/14
We introduce a new class of autoequivalences that act on the derived categories of certain vector bundles over Grassmannians. These autoequivalences arise from Grassmannian flops: they generalize Seid...
Gluing derived equivalences together
Grothendieck constructions oplax functors derived equivalences
2012/4/17
The Grothendieck construction of a diagram X of categories can be seen as a process to construct a single category Gr(X) by gluing categories in the diagram together. Here we formulate diagrams of cat...
Invariants of Topological Relative Right Equivalences
function germ integral closure Bruce-Roberts number
2012/4/17
The constancy of the Milnor number has several characterizations which were summarized by Greuel in 1986. This paper presents a study of these characterizations in the case of families of functions wi...
Singular equivalences induced by homological epimorphisms
singularity category triangle equivalence homological epimorphism non-Gorenstein algebra
2011/9/23
Abstract: We prove that a certain homological epimorphism between two algebras induces a triangle equivalence between their singularity categories. Applying the result to a construction of matrix alge...
Category equivalences involving graded modules over path algebras of quivers
Category equivalences path algebras of quivers Rings and Algebras
2011/9/14
Abstract: Let kQ be the path algebra of a quiver Q with its standard grading. We show that the category of graded kQ-modules modulo those that are the sum of their finite dimensional submodules, QGr(k...
Derived equivalences in n-angulated categories
derived equivalence n-angulated category n-perforated Yoneda algebra triangulated category
2011/9/9
Abstract: In this paper, we consider $n$-perforated Yoneda algebras for $n$-angulated categories, and show that, under some conditions, $n$-angles induce derived equivalences between the quotient alge...
In the category of relative categories the Rezk equivalences are exactly the DK-equivalences
category of relative categories Rezk equivalences exactly the DK-equivalences
2011/1/19
In a previous paper we lifted Charles Rezk’s complete Segal model structure on the category of simplicial spaces to a Quillen equivalent one on the category of “relative categories” and our aim in thi...
Inductions and restrictions for stable equivalences of Morita type
Admissible sets derived equivalences self-injective algebras stable equivalences
2011/1/20
In this paper, we present two methods, induction and restriction procedures, to construct new stable equivalences of Morita type.
On tilting complexes providing derived equivalences that send simple-minded objects to simple objects
send simple-minded simple objects
2010/11/22
Given a set of 'simple-minded' objects in a derived category, Rickard constructed a complex, which over a symmetric algebra provides a derived equivalence sending the 'simple-minded' objects to simpl...
Cell-Like Equivalences and Boundaries of CAT(0) Groups
Cell-Like Equivalences Boundaries of CAT(0) Groups
2010/11/11
In 2000, Croke and Kleiner showed that a CAT(0) group G can admit more than one boundary. This contrasted with the situation for word hyperbolic groups, where it was well-known that each such group a...
Quasi-weak equivalences in complicial exact categories
Quasi-weak equivalences complicial exact categories
2010/12/10
We introduce a notion of quasi-weak equivalences associated with weak-equivalences in an exact category. It gives us a delooping for (idempotent complete) exact categories and a condition that the neg...
Derived equivalences for Cohen-Macaulay Auslander algebras
Cohen-Macaulay finite type Cohen-Macaulay Auslander algebras derived equivalence
2010/12/9
Let A and B be Gorenstein Artin algebras of Cohen-Macaulay finite type. We prove that, if
A and B are derived equivalent, then their Cohen-Macaulay Auslander algebras are also derived
equivalent.