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 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.
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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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 |
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| author |
Zaka,Orgest Mohammed,Mohanad A. |
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Zaka,Orgest Mohammed,Mohanad A. The endomorphisms algebra of translations group and associative unitary ring of trace-preserving endomorphisms in affine plane |
| 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 |
| 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. |
| 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 |
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| _version_ |
1755990087924973568 |