Outer endomorphisms of free metabelian Lie algebras

Findik, Sehmus. "Outer endomorphisms of free metabelian Lie algebras." Serdica Mathematical Journal 37.3 (2011): 261-276. <http://eudml.org/doc/281556>.

@article{Findik2011,
abstract = {2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Fm be the free metabelian Lie algebra of rank m over a field K of characteristic 0. We consider the semigroup IE(Fm) of the endomorphisms of Fm which are identical modulo the commutator ideal of Fm. We describe the factor semigroup of IE(Fm) modulo the congruence induced by the group of inner automorphisms.},
author = {Findik, Sehmus},
journal = {Serdica Mathematical Journal},
keywords = {Free Metabelian Lie Algebras; Inner Automorphisms; Outer Endomorphisms; free metabelian Lie algebras; inner automorphisms; outer endomorphisms},
language = {eng},
number = {3},
pages = {261-276},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Outer endomorphisms of free metabelian Lie algebras},
url = {http://eudml.org/doc/281556},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Findik, Sehmus
TI - Outer endomorphisms of free metabelian Lie algebras
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 3
SP - 261
EP - 276
AB - 2000 Mathematics Subject Classification: 17B01, 17B30, 17B40.Let Fm be the free metabelian Lie algebra of rank m over a field K of characteristic 0. We consider the semigroup IE(Fm) of the endomorphisms of Fm which are identical modulo the commutator ideal of Fm. We describe the factor semigroup of IE(Fm) modulo the congruence induced by the group of inner automorphisms.
LA - eng
KW - Free Metabelian Lie Algebras; Inner Automorphisms; Outer Endomorphisms; free metabelian Lie algebras; inner automorphisms; outer endomorphisms
UR - http://eudml.org/doc/281556
ER -