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Dominions in decomposable varieties

Arturo Magidin
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Abstract

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 ${\cal N}$ has instances of nontrivial dominions, then for any proper subvariety ${\cal Q}$ of ${\cal G}roup$, ${\cal NQ}$ also has instances of nontrivial dominions.

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Arturo Magidin. 1999-05-13. Dominions in decomposable varieties. https://arxiv.org/abs/math/9807118

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