• Title/Summary/Keyword: poor M-cosequence

Search Result 3, Processing Time 0.014 seconds

Mashhad University, Department of Mathematics;

  • Yassi, M.
    • Bulletin of the Korean Mathematical Society
    • /
    • v.38 no.4
    • /
    • pp.727-733
    • /
    • 2001
  • Let A be a commutative ring with nonzero identity and let M be an A-module. In this note we show that if $x = x_1, ..., x_n\; and\; y = y_1, ..., y_n$ both M-cosequence such that $Hx^T = y^T\; for\; some\; n\times n$ lower triangular matrix H over A, then the map $\beta_H : \;Ann_M(y_1,..., y_n)\;\rightarrow Ann_M(x_1,..., x_n)$ induced by multiplication by |H| is surjective.

  • PDF

EXACTNESS THEOREM AND POOR M-COSEQUENCES

  • Khashyarmanesh, K.;Salarian, Sh.
    • Journal of the Korean Mathematical Society
    • /
    • v.34 no.4
    • /
    • pp.949-957
    • /
    • 1997
  • The purpose of this paper is to establish connection between certain complex of modules of generalized fractions and the concept of cosequence in commutative algebra. The main theorem of the paper leads to characterization, in terms of modules of generalized fractions, of regular (co) sequences.

  • PDF