The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane

Abstract: A description of Endomorphisms of the translation group is introduced in an affine plane, will define the addition and composition of the set of endomorphisms and specify the neutral elements associated with these two actions and present the Endomorphism algebra thereof will distinguish th...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Zaka,Orgest, Mohammed,Mohanad A.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Affine plane Endomorphisms Trace-preserving endomorphisms Translation group Aditive group Associative ring
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400821
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0716-09172020000400821
record_format	dspace
spelling	oai:scielo:S0716-091720200004008212020-08-13The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine planeZaka,OrgestMohammed,Mohanad A. Affine plane Endomorphisms Trace-preserving endomorphisms Translation group Aditive group Associative ring Abstract: A description of Endomorphisms of the translation group is introduced in an affine plane, will define the addition and composition of the set of endomorphisms and specify the neutral elements associated with these two actions and present the Endomorphism algebra thereof will distinguish the Trace-preserving endomorphism algebra in affine plane, and prove that the set of Trace-preserving endomorphism associated with the ’addition’ action forms a commutative group. We also try to prove that the set of trace-preserving endomorphism, together with the two actions, in it, ’addition’ and ’composition’ forms an associative and unitary ring.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.4 20202020-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400821en10.22199/issn.0717-6279-2020-04-0051
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Affine plane Endomorphisms Trace-preserving endomorphisms Translation group Aditive group Associative ring
spellingShingle	Affine plane Endomorphisms Trace-preserving endomorphisms Translation group Aditive group Associative ring Zaka,Orgest Mohammed,Mohanad A. The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
description	Abstract: A description of Endomorphisms of the translation group is introduced in an affine plane, will define the addition and composition of the set of endomorphisms and specify the neutral elements associated with these two actions and present the Endomorphism algebra thereof will distinguish the Trace-preserving endomorphism algebra in affine plane, and prove that the set of Trace-preserving endomorphism associated with the ’addition’ action forms a commutative group. We also try to prove that the set of trace-preserving endomorphism, together with the two actions, in it, ’addition’ and ’composition’ forms an associative and unitary ring.
author	Zaka,Orgest Mohammed,Mohanad A.
author_facet	Zaka,Orgest Mohammed,Mohanad A.
author_sort	Zaka,Orgest
title	The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
title_short	The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
title_full	The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
title_fullStr	The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
title_full_unstemmed	The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
title_sort	endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400821
work_keys_str_mv	AT zakaorgest theendomorphismsalgebraoftranslationsgroupandassociativeunitaryringoftracepreservingendomorphismsinaffineplane AT mohammedmohanada theendomorphismsalgebraoftranslationsgroupandassociativeunitaryringoftracepreservingendomorphismsinaffineplane AT zakaorgest endomorphismsalgebraoftranslationsgroupandassociativeunitaryringoftracepreservingendomorphismsinaffineplane AT mohammedmohanada endomorphismsalgebraoftranslationsgroupandassociativeunitaryringoftracepreservingendomorphismsinaffineplane
_version_	1718439876716658688

The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane

Ejemplares similares