Quasi-normal relations - a new class of relations

被引:2
|
作者
Romano, Daniel Abraham [1 ]
机构
[1] East Sarajevo Univ, Fac Educ Bijeljina, Semberski Ratari St Bb, Bijeljina 76300, Bosnia & Herceg
来源
KYUNGPOOK MATHEMATICAL JOURNAL | 2015年 / 55卷 / 03期
关键词
relations; quasi-normal relations; dually quasi-normal relations;
D O I
10.5666/KMJ.2015.55.3.541
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, concepts of quasi-normal and dually quasi-normal relations are introduced. Characterizations of these relations are obtained. In addition, particulary we show that the anti-order relation not less than or equal to (= <=(C)) is a (dually) quasi-normal relation if and only if the partially ordered set (X, <=) is an anti-chain.
引用
收藏
页码:541 / 548
页数:8
相关论文
共 50 条
  • [1] QUASI-REGULAR RELATIONS - A NEW CLASS OF RELATIONS ON SETS
    Romano, Daniel A.
    [J]. PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2013, 93 (107): : 127 - 132
  • [2] Quasi-Normal Rings
    Wei, Junchao
    Li, Libin
    [J]. COMMUNICATIONS IN ALGEBRA, 2010, 38 (05) : 1855 - 1868
  • [3] QUASI-NORMAL RINGS
    VASCONCELOS, WV
    [J]. ILLINOIS JOURNAL OF MATHEMATICS, 1970, 14 (02) : 268 - +
  • [4] QUASI-NORMAL SPACES
    FLEISCHM.G
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 268 (17): : 941 - &
  • [5] NORMAL AND QUASI-NORMAL COMPOSITION OPERATORS
    WHITLEY, R
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1978, 70 (02) : 114 - 118
  • [6] SPECTRAL AND QUASI-NORMAL OPERATORS
    LABROUSSE, JP
    [J]. COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1978, 286 (23): : 1107 - 1108
  • [7] INFINITE QUASI-NORMAL MATRICES
    WIEGMANN, NA
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1973, 25 (04): : 820 - 828
  • [8] ON THE CLASS OF n-POWER QUASI-NORMAL OPERATORS ON HILBERT SPACE
    Ahmed, Ould Ahmed Mahmoud Sid
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (02): : 213 - 228
  • [9] Quasi-normal hypothesis revised
    Maurizi, Alberto
    [J]. ADVANCES IN TURBULENCE XI, 2007, 117 : 603 - 605
  • [10] QUASI-NORMAL ANALYTIC SPACES
    MOCHIZUKI, N
    [J]. PROCEEDINGS OF THE JAPAN ACADEMY, 1972, 48 (03): : 181 - +