Dominions in decomposable varieties

dc.creatorMagidin, Arturo
dc.date1998-07-21
dc.date1999-05-13
dc.date.accessioned2026-07-07T05:25:28Z
dc.date.available2026-07-07T05:25:28Z
dc.descriptionDominions, 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.
dc.descriptionPlain TeX, 22 pp. Typos corrected. Final version
dc.identifierhttps://arxiv.org/abs/math/9807118
dc.identifierhttp://arxiv.org/abs/math/9807118
dc.identifierAlgebra Universalis 42 (2-3), 217-232 (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77191
dc.subjectGroup Theory
dc.subject08B25, 20E10 (primary) 20E22, 20F18 (secondary)
dc.titleDominions in decomposable varieties
dc.typetext

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