On ideal extensions of partial monounary algebras

被引：0
|
作者：
Jakubikova-Studenovska, Danica [1 ]
机构：
[1] Safarik Univ, Fac Sci, Inst Math, Kosice 04154, Slovakia
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2008年 / 58卷 / 02期
关键词：
partial monounary algebra; ideal; congruence; quotient algebra; ideal extension;
D O I：
10.1007/s10587-008-0019-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper we introduce the notion of an ideal of a partial monounary algebra. Further, for an ideal (I, f (I) ) of a partial monounary algebra (A, f (A) ) we define the quotient partial monounary algebra (A, f(A) )/(I, f(I) ). Let (X, f(X) ), (Y, f(Y) ) be partial monounary algebras. We describe all partial monounary algebras (P, f(P) ) such that (X, f(X) ) is an ideal of (P, f(P) ) and (P, f(P))/(X, f(X) ) is isomorphic to (Y, f(Y) ).
引用
收藏
页码：331 / 344
页数：14
相关论文
共 50 条
  • [21] Extensions of C*-Algebras by a Small Ideal
    Lin, Huaxin
    Ng, Ping Wong
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023, 2023 (12) : 10350 - 10438
  • [22] Ideal extensions and directly infinite algebras
    Bossaller, Daniel P.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (07)
  • [23] Extensions of AH algebras with the ideal property
    Pasnicu, C
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1999, 42 : 65 - 76
  • [24] The number of monounary algebras
    Gábor Horváth
    Kamilla Kátai-Urbán
    Péter Pál Pach
    Gabriella Pluhár
    Csaba Szabó
    András Pongrácz
    Algebra universalis, 2011, 66
  • [25] TOLERANCES ON MONOUNARY ALGEBRAS
    ZELINKA, B
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 1984, 34 (02) : 298 - 304
  • [26] On a representation of monounary algebras
    Jakubikova-Studenovska, DJ
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2005, 55 (01) : 157 - 164
  • [27] Monounary simple algebras
    Bianchi, Mariagrazia
    Gillio, Anna
    Verardi, Libero
    Ischia Group Theory 2004, Proceedings, 2006, 402 : 119 - 132
  • [28] The number of monounary algebras
    Horvath, Gabor
    Katai-Urban, Kamilla
    Pach, Peter Pal
    Pluhar, Gabriella
    Szabo, Csaba
    Pongracz, Andras
    ALGEBRA UNIVERSALIS, 2011, 66 (1-2) : 81 - 83
  • [29] ON PSEUDOVARIETIES OF MONOUNARY ALGEBRAS
    Jakubikova-Studenovska, Danica
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2012, 5 (01)
  • [30] Homogeneous monounary algebras
    Jakubíková-Studenovská, D
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2002, 52 (02) : 309 - 317
12345