# Outer endomorphisms of free metabelian Lie algebras

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 3, page 261-276
- ISSN: 1310-6600

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topFindik, 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 -

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