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On absolute nilpotent and idempotent elements of an evolution algebra corresponding to permutations

Published 30 Mar 2018 in math.RA and math.AC | (1803.11415v1)

Abstract: We describe absolute nilpotent and some idempotent elements of an $n$- dimensional evolution algebra corresponding to two permutations and we decompose such algebras to the direct sum of evolution algebras corresponding to cycles of the permutations.

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