• Title/Summary/Keyword: Nguyen

Search Result 3,487, Processing Time 0.033 seconds

STABLE MINIMAL HYPERSURFACES WITH WEIGHTED POINCARÉ INEQUALITY IN A RIEMANNIAN MANIFOLD

  • Nguyen, Dinh Sang;Nguyen, Thi Thanh
    • Communications of the Korean Mathematical Society
    • /
    • v.29 no.1
    • /
    • pp.123-130
    • /
    • 2014
  • In this note, we investigate stable minimal hypersurfaces with weighted Poincar$\acute{e}$ inequality. We show that we still get the vanishing property without assuming that the hypersurfaces is non-totally geodesic. This generalizes a result in [2].

IDEALIZATIONS OF PSEUDO BUCHSBAUM MODULES OVER A PSEUDO BUCHSBAUM RING

  • Nguyen, Thi Hong Loan;Nong, Quoc Chinh
    • Bulletin of the Korean Mathematical Society
    • /
    • v.50 no.5
    • /
    • pp.1523-1530
    • /
    • 2013
  • Let (A,m) be a Noetherian local ring and M a finitely generated A-module. The notion of pseudo Buchsbaum module was introduced in [3] as an extension of that of Buchsbaum module. In this paper, we give a condition for the idealization A⋉M of M over A to be pseudo Buchsbaum.

RELATION BETWEEN ANN-CATEGORIES AND RING CATEGORIES

  • Phung, Che Thi Kim;Quang, Nguyen Tien;Thuy, Nguyen Thu
    • Communications of the Korean Mathematical Society
    • /
    • v.25 no.4
    • /
    • pp.523-535
    • /
    • 2010
  • There are different categorifications of the notion of a ring such as Ann-category due to N. T. Quang, ring category due to M. M. Kapranov and V. A. Voevodsky. The main result of this paper is to prove that every axiom in the definition of a ring category, but the axiom $x_0 = y_0$, can be deduced from the axiomatics of an Ann-category.