Dominions in decomposable varieties
Magidin, Arturo
Original · EN
Dominions, in the sense of Isbell, are investigated in the context of decomposable varieties of groups. An upper and lower bound for dominions in such a variety is given in terms of the two varietal factors, and the internal structure of the group being analyzed. Finally, the following result is established: If a variety N has instances of nontrivial dominions, then for any proper subvariety Q of Group, NQ also has instances of nontrivial dominions.
English translation
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