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

2018/03/30 by B. A. Narkuziyev, Narkuziyev, B. A. · 1 citation
Mathematics · #17D92 #17D99 #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.1803.11415

10 pages

arxiv created 2018/03/30 · arxiv updated 2020/05/11

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.

Cited by

• Some remarks on evolution algebras corresponding to permutations

Related

• Some remarks on evolution algebras corresponding to permutations
• Few remarks on evolution algebras
• On real chains of evolution algebras
• Behavior and dynamics of the set of absolute nilpotent and idempotent elements of chain of evolution algebras depending on the time
• A class of nilpotent evolution algebras