On closed and absolutely closed varieties of posemigroups

被引:1
|
作者
Bano, Sakeena [1 ]
Shah, Aftab Hussain [1 ]
Nabi, Muneer [1 ]
机构
[1] Cent Univ Kashmir, Dept Math, Ganderbal 191201, India
关键词
Posemigroup; dominion; zigzag inequalities; permutative; variety; EPIMORPHISMS;
D O I
10.1142/S1793557123500298
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we first show that the variety V of posemigroups satisfying an identity axy = axay is closed if it is V-convex. Next, we show that inverse posemigroups satisfying an identity x = xyx are absolutely closed. We also show that a convex variety of left [right] zero posemigroups is absolutely closed and finally U-0 is absolutely closed if so is U.
引用
收藏
页数:15
相关论文
共 50 条
  • [31] SEMIGROUP VARIETIES CLOSED FOR THE BRUCK EXTENSION
    PASTIJN, F
    YAN, XY
    GLASGOW MATHEMATICAL JOURNAL, 1994, 36 : 371 - 380
  • [32] SATURATED AND EPIMORPHICALLY CLOSED VARIETIES OF SEMIGROUPS
    HIGGINS, PM
    JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1984, 36 (APR): : 153 - 175
  • [33] COLLAPSED TOPOSES AND CARTESIAN CLOSED VARIETIES
    JOHNSTONE, PT
    JOURNAL OF ALGEBRA, 1990, 129 (02) : 446 - 480
  • [34] Geometrically closed positive varieties of languages
    Klima, Ondrej
    Kostolanyi, Peter
    INFORMATION AND COMPUTATION, 2022, 288
  • [35] THE MINIMAL VARIETIES ASSOCIATED TO A CLOSED FORM
    HARVEY, FR
    LAWSON, HB
    ANNALS OF MATHEMATICS STUDIES, 1983, (103): : 217 - 223
  • [36] Some homotypical closed varieties of semigroups
    M. Nabi
    S. A. Ahanger
    S. Bano
    A. H. Shah
    Arabian Journal of Mathematics, 2023, 12 : 161 - 172
  • [37] Epis, dominions and varieties of commutative posemigroups
    Ahanger, S. A.
    Shah, A. H.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (04)
  • [38] CLOSED IDEALS OF THE ALGEBRA OF ABSOLUTELY CONVERGENT TAYLOR-SERIES
    ESTERLE, J
    STROUSE, E
    ZOUAKIA, F
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 31 (01) : 39 - 43
  • [39] RESTRICTION ALGEBRAS OF TAYLOR SERIES ABSOLUTELY CONVERGING TO A CLOSED CIRCLE
    KAHANE, JP
    KATZNELS.Y
    JOURNAL D ANALYSE MATHEMATIQUE, 1970, 23 : 185 - &
  • [40] THETA-PERFECT AND THETA-ABSOLUTELY CLOSED FUNCTIONS
    DICKMAN, RF
    PORTER, JR
    ILLINOIS JOURNAL OF MATHEMATICS, 1977, 21 (01) : 42 - 60