Acta Mathematica Vietnamica
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Taut Foliations, Left-Orderability, and Cyclic Branched Covers
Acta Mathematica Vietnamica - Tập 39 - Trang 599-635 - 2014
We study the question of when cyclic branched covers of knots admit taut foliations, have left-orderable fundamental groups, and are not L-spaces.
Differential Extensions of Weakly Principally Quasi-Baer Rings
Acta Mathematica Vietnamica - Tập 44 - Trang 977-991 - 2018
A ring R is called weakly principally quasi-Baer or simply (weakly p.q.-Baer) if the right annihilator of a principal right ideal is right s-unital by right semicentral idempotents, which implies that R modulo, the right annihilator of any principal right ideal, is flat. We study the relationship between the weakly p.q.-Baer property of a ring R and those of the differential polynomial extension R......
Remarks on Jones Slopes and Surfaces of Knots
Acta Mathematica Vietnamica - Tập 46 - Trang 289-299 - 2021
We show that the strong slope conjecture implies that the degrees of the colored Jones knot polynomials detect the figure 8 knot. Furthermore, we propose a characterization of alternating knots in terms of the Jones period and the degree span of the colored Jones polynomial
On Stability of G-Frames in Hilbert Pro-C∗-Modules
Acta Mathematica Vietnamica - - 2021
In this paper, we extend the basic stability theorem for frames in Hilbert C∗-modules to g-frames in Hilbert pro-C∗-modules. We also extend the Casazza-Christensen perturbation theorem to g-frames in Hilbert pro-C∗-modules and show that the Casazza-Christensen theorem is not valid for g-Riesz bases in Hilbert pro-C∗-modules. Finally, we derive some characterizations of g-frames in Hilbert pro-C∗-m......
Local Cohomology of Multi-Rees Algebras with Applications to joint Reductions and Complete Ideals
Acta Mathematica Vietnamica - Tập 40 - Trang 479-510 - 2015
Let
$(R,\mathfrak {m})$
be a Cohen-Macaulay local ring of dimension d and I=(I
1,…,I
d
) be
......
Solvability of Some Classes of Systems of Dual Integral Equations Involving Fourier Transforms
Acta Mathematica Vietnamica - Tập 40 - Trang 653-669 - 2014
The aim of the present work is to consider the existence and uniqueness problems for some classes of general systems of dual integral equations involving Fourier transforms of generalized functions, which are a generalization of some systems of dual equations encountered in the mixed boundary value problems of mathematical physics and contact problems of elasticity.
Existence and finite time approximation of strong solutions to 2D g-Navier–Stokes equations
Acta Mathematica Vietnamica - - 2013
Critical Paired Dominating Sets and Irreducible Decompositions of Powers of Edge Ideals
Acta Mathematica Vietnamica - Tập 44 - Trang 587-601 - 2018
Let G be a finite simple graph. A set S of vertices is a critical paired dominating set of G, if every vertex is adjacent to a vertex in S and the removal of any vertex does not change the matching number of G. In this paper, we give a characterization of graphs G which has a critical paired dominating set in terms of the irreducible decomposition of powers of the edge ideal associated to G.
Tate Resolutions for Products of Projective Spaces
Acta Mathematica Vietnamica - Tập 40 - Trang 5-36 - 2015
We describe the Tate resolution of a coherent sheaf or complex of coherent sheaves on a product of projective spaces. Such a resolution makes explicit all the cohomology of all twists of the sheaf, including, for example, the multigraded module of twisted global sections, and also the Beilinson monads of all twists. Although the Tate resolution is highly infinite, any finite number of components c......
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