Endomorphisms of Free Metabelian Lie Algebras Which Preserve OrbitsSpringer Science and Business Media LLC - Tập 45 - Trang 1135-1139 - 2004
I. V. Chirkov, M. A. Shevelin
For the free rank 2 metabelian Lie algebra over an infinite field we prove that
an endomorphism of the algebra which preserves the automorphic orbit of a
nonzero element is an automorphism. We construct some counterexamples over
finite fields.
The Maximal Cardinality of the Base in $ P_{2}\times P_{2} $Springer Science and Business Media LLC - Tập 62 - Trang 114-122 - 2021
S. Meshaik, T. Oner
Some structural properties are discussed of the functions in $ P_{2}\times P_{2}
$ . We describe the properties of functions not belonging to the maximal
subalgebras $ R_{4} $ , $ R_{5} $ , and $ R_{11} $ and show that the maximal
cardinality of the basis in $ P_{2}\times P_{2} $ is equal to 8.... hiện toàn bộ
(n,l)-sums of modelsSpringer Science and Business Media LLC - Tập 9 - Trang 87-96 - 1968
T. G. Mustafin