Open AccessTopological 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 , pure mathematics , torsion (gastropod) , 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.