The structure of the set of all non- nilpotent (–1, 1) metabelian rings is studied. An additive basis of a free (–1, 1) metabelian ring is constructed. It is proved that any identity in a non- nilpotent 2, 3-torsion free (–1, 1) metabelian ring of degree greater than or equal to 6 is a consequence four defining identities of m where m is the metabelian (–1, 1) ring.
@article{26250,
title = {(--1, 1) metabelian rings},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {35},
year = {2016},
doi = {10.5269/bspm.v35i2.26250},
language = {EN},
url = {http://dml.mathdoc.fr/item/26250}
}
Jayalakshmi, Karamsi; Babu, Kommaddi Hari. (–1, 1) metabelian rings. Boletim da Sociedade Paranaense de Matemática, Tome 35 (2016) . doi : 10.5269/bspm.v35i2.26250. http://gdmltest.u-ga.fr/item/26250/