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

dc.creatorZaka, Orgest
dc.creatorMohammed, Mohanad. A.
dc.date2020-07-28
dc.date.accessioned2020-07-29T16:38:00Z
dc.date.available2020-07-29T16:38:00Z
dc.identifierhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4266
dc.identifier10.22199/issn.0717-6279-2020-04-0051
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/147139
dc.descriptionA 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4266/3467
dc.rightsCopyright (c) 2020 Orgest Zaka, Mohanad. A. Mohammeden-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol. 39 No. 4 (2020): Special Issue: Mathematical Computation in Combinatorics and Graph Theory; 821-834en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 4 (2020): Special Issue: Mathematical Computation in Combinatorics and Graph Theory; 821-834es-ES
dc.source0717-6279
dc.source10.22199/issn.0717-6279-2020-04
dc.subjectAffine planeen-US
dc.subjectEndomorphismsen-US
dc.subjectTrace-preserving endomorphismsen-US
dc.subjectTranslation groupen-US
dc.subjectAditive groupen-US
dc.subjectAssociative ringen-US
dc.subject51-XXen-US
dc.subjectGeometryen-US
dc.subject51Axxen-US
dc.subjectLinear incidence geometryen-US
dc.subject51A25en-US
dc.subjectAlgebraization in linear incidence geometryen-US
dc.subject51A40en-US
dc.subjectTranslation planes and spreads in linear incidence geometryen-US
dc.subject08Axxen-US
dc.subjectAlgebraic structuresen-US
dc.subject16-XXen-US
dc.subjectAssociative rings and algebrasen-US
dc.subject16Sxxen-US
dc.subjectAssociative rings and algebras arising under various constructionsen-US
dc.subject16S50en-US
dc.subjectEndomorphism rings; matrix ringsen-US
dc.titleThe endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine planeen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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