Locally solvable factors of varieties

Kearnes, Keith

doi:10.1090/S0002-9939-96-03501-0

Locally solvable factors of varieties
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by Keith A. Kearnes PDF

Proc. Amer. Math. Soc. 124 (1996), 3619-3625 Request permission

Abstract:

We give necessary and sufficient local conditions, which are easy to check, for a locally finite variety $\mathcal {V}$ to decompose as the product of a locally solvable subvariety $\mathcal {U}$ and a subvariety $\mathcal {W}$ which has type set disjoint from the type set of $\mathcal {U}$.

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