Abstract. Every quasigroup (loop, Bol loop, group, respectively) is isomorphic to the factor of a subdirectly irreducible quasigroup (loop, Bol loop, group, respectively) over its monolithic congruence.
AMS Subject Classification
(1991): 20N05, 08B26
Keyword(s):
subdirectly irreducible,
quasigroup,
loop,
wreath product
Received February 15, 2005, and in final form October 17, 2005. (Registered under 5907/2009.)
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