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
  • [1] Finite monogenic posemigroups are absolutely closed
    Ahanger, S. A.
    Rashid, Kulsooma
    Bhat, Manan Bashir
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [3] SEQUENTIALLY CLOSED AND ABSOLUTELY CLOSED SPACES
    DIKRANJAN, D
    GOTCHEV, I
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1987, 1B (03): : 849 - 860
  • [4] ABSOLUTELY CLOSED SPACES
    LIU, CT
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 130 (01) : 86 - &
  • [5] Absolutely closed semigroups
    Banakh, Taras
    Bardyla, Serhii
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2024, 118 (01)
  • [6] Absolutely closed semigroups
    Taras Banakh
    Serhii Bardyla
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2024, 118
  • [7] ABSOLUTELY CLOSED MAPS
    FRIEDLER, L
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 51 (01) : 186 - 190
  • [8] ABSOLUTELY CLOSED LIE GROUPS
    GOTO, M
    MATHEMATISCHE ANNALEN, 1973, 204 (04) : 337 - 341
  • [9] T X IS ABSOLUTELY CLOSED
    SCHEIBLICH, HE
    MOORE, KC
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A90 - A90
  • [10] On saturated varieties of posemigroups
    Shabir Ahmad Ahanger
    Aftab Hussain Shah
    Noor Mohammad Khan
    Algebra universalis, 2020, 81