Differential Extensions of Weakly Principally Quasi-Baer RingsActa Mathematica Vietnamica - Tập 44 - Trang 977-991 - 2018
Kamal Paykan, Ahmad Moussavi
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...... hiện toàn bộ
Remarks on Jones Slopes and Surfaces of KnotsActa Mathematica Vietnamica - Tập 46 - Trang 289-299 - 2021
Efstratia Kalfagianni
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
Solvability of Some Classes of Systems of Dual Integral Equations Involving Fourier TransformsActa Mathematica Vietnamica - Tập 40 - Trang 653-669 - 2014
Nguyen Van Ngoc, Ha Tien Ngoan, Nguyen Thi Ngan
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.
Critical Paired Dominating Sets and Irreducible Decompositions of Powers of Edge IdealsActa Mathematica Vietnamica - Tập 44 - Trang 587-601 - 2018
Nguyen Thi Dung, Nguyen Thi Thanh Tam, Hoang Le Truong, Hoang Ngoc Yen
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.
On Flexible SequencesActa Mathematica Vietnamica - Tập 44 Số 4 - Trang 833-874 - 2019
Bruno Dinis, Nam Van Tran, Imme van den Berg
Syzygies of Hibi RingsActa Mathematica Vietnamica - - 2015
Viviana Ene
We survey recent results on resolutions of Hibi rings.