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On generalized cocycle equations
Authors:B. R. Ebanks  C. T. Ng
Affiliation:(1) Department of Mathematics, University of Louisville, 40292 Louisville, KY, USA;(2) Faculty of Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada
Abstract:Summary Motivated by results on the classical cocycle equation, we solved the more general equationF1(x + y, z) + F2(y + z, x) + F3(z + x, y) + F4(x, y) + F5(y, z) + F6(z, x) = 0 for six unknown functions mapping ordered pairs from an abelian group into a vector space over the rationals.Dedicated to the memory of Alexander M. Ostrowski on the occasion of the 100th anniversary of his birth.
Keywords:Primary 39A10   39B40
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