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) ).
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页码：331 / 344
页数：14
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