Outer endomorphisms of free metabelian Lie algebras

Findik, Sehmus

Serdica Mathematical Journal (2011)

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

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.