Topological rank of (-1, 1) metabelian algebras | Zendy

K. Jayalakshmi | Zendy; Kommaddi Hari Babu | Zendy

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Topological rank of (-1, 1) metabelian algebras

Author(s) -

K. Jayalakshmi,

Kommaddi Hari Babu

Publication year - 2021

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.42992

Subject(s) - mathematics , rank (graph theory) , nilpotent , lie algebra , torsion (gastropod) , pure mathematics , nilpotent group , variety (cybernetics) , topology (electrical circuits) , algebra over a field , combinatorics , medicine , statistics , surgery

In 1981, Pchelintsev developed the idea for arranging non-nilpotent subvarieties in a given variety by using topological rank for spechtian varieties of algebra as a fixed tool. In this paper we show that for a given topological rank over a field of 2, 3 ? torsion free of (-1; 1) metabelian algebra solvable of index 2 that are Lie-nilpotent of step not more than p is equal to P.

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