Title of article :
Orders of Generalized Hypersubstitutions of Type τ =(3)
Author/Authors :
Sudsanit، Sivaree نويسنده Faculty of Science,Department of Mathematics,Chiang Mai University,Chiang Mai,Thailand , , Leeratanavalee، Sorasak نويسنده Faculty of Science,Department of Mathematics,Chiang Mai University,Chiang Mai,Thailand ,
Issue Information :
ماهنامه با شماره پیاپی سال 2011
Abstract :
The concept of generalized hypersubstitutions was introduced by S. Leeratanavalee and K. Denecke in 2000. We used it as the tool to study strong hyperidentities and strongly solid varieties. In this paper we characterize all idempotent generalized hypersubstitutions of type τ =(3) and determine the order of each generalized hypersubstitution of this type. It turns out that the order is 1, 2, 3 or infinite.
Keywords :
Generalized superposition , generalized hypersubstitution , idempotent element , cyclic subsemigroup , the order of generalized hypersubstitu-
tions
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes
