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Some remarks on evolution algebras corresponding to permutations

2020/05/09 by B. A. Narkuziyev, Narkuziyev, B. A.
Mathematics · #17D92 #17D99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #math.AC #math.RA #msc:17D92 #msc:17D99

paper · pdf · doi:10.48550/arxiv.2005.05793

arXiv admin note: substantial text overlap with arXiv:1803.11415

arxiv created 2020/05/09 · openalex publication_date 2020/05/09 · arxiv updated 2020/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper 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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