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Cari koleksi dengan cepat sesuai kebutuhan Anda.Let k be an arbitrary field and Q be an acyclic quiver of tame type (that is, of type˜ An, ˜Dn, ˜E6, ˜E7, ˜E8). Consider the path algebra kQ, the category of finite-dimensional right modules mod-kQ, and the minimal positive imaginary root of Q, denoted by δ. In the first part of the paper, we deduce that the Gabriel–Roiter (GR) inclusions in preprojective indecomposables and homoge…
We present a new approach to an equivariant version of Farber’s topological complexity called invariant topological complexity. It seems that the presented approach is more adequate for the analysis of impact of a symmetry on a motion planning algorithm than the one introduced and studied by Colman and Grant. We show many bounds for the invariant topological complexity comparing it with a…
A symmetry problem in potential theory is studied with a new approach applicable to spatially heterogeneous situations. It is proved under some condition on the heterogeneity that a domain in which an overdetermined problem is solvable must be a ball.