RO  EN
IMCS/Publications/QRS/Issues/QRS v.17, n.2 (22), 2009/

Construction for subdirectly irreducible sloops of cardinality n2^m

Authors: E. M. A. El-Zayat and M. H. Armanious

Abstract

Guelzow and similarly Armanious gave generalized doubling constructions to construct nilpotent subdirectly irreducible SQS-skeins and sloops. In the previous paper the authors have given recursive construction theorems as n-->2n for subdirectly irreducible sloops and SQS-skeins, these constructions supplies us with a subdirectly irreducible sloop of cardinality 2n satisfying that the cardinality of the congruence class of its monolith is equal to 2. In this article, we give a construction for subdirectly irreducible sloops of cardinality n2m having a monolith with a congruence class of cardinality 2m. This construction supplies us with the fact that each sloop is isomorphic to the homomorphic image of the constructed subdirectly irreducible sloop over its monolith.




Fulltext

Adobe PDF document0.22 Mb