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Listar Artículos (Geometría y Topología) por autor "Fernández Ternero, Desamparados"
Mostrando ítems 1-9 de 9
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Artículo
Application of statistical techniques for comparing Lie algebra algorithms
Fernández Ternero, Desamparados; Núñez Valdés, Juan; Tenorio Villalón, Ángel Francisco (International Center for Scientific Research and Studies Publication, 2012-03)This paper is devoted to study and compare two algebraic algorithms related to the computation of Lie algebras by using ...
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Dealing with the Resolubility of Evolution Algebras
Fernández Ternero, Desamparados; Gómez Sousa, Víctor Manuel; Núñez Valdés, Juan (Springer, 2022)Although since their introduction by Tian in 2004, evolution algebras have been the subject of a very deep study in the ...
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Evolution algebras whose evolution operator is a homomorphism
Fernández Ternero, Desamparados; Gómez Sousa, Víctor Manuel; Núñez Valdés, Juan (Wiley, 2021-09-30)This article deals with the evolution operator of evolution algebras. We give a theorem that allows to characterize these ...
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Fundamental theorems of Morse theory on posets
Fernández Ternero, Desamparados; Macías Virgos, Enrique; Mosquera Lois, David; Vilches Alarcón, José Antonio (AIMS, 2022-01-13)We prove a version of the fundamental theorems of Morse theory in the setting of finite partially ordered sets. By using ...
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Graphs associated with nilpotent Lie algebras of maximal rank
Díaz Delgado, José Eduardo; Fernández Mateos, Rafael; Fernández Ternero, Desamparados; Núñez Valdés, Juan (European Mathematical Society, 2003)In this paper, we use the graphs as a tool to study nilpotent Lie algebras. It implies to set up a link between graph ...
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Lusternik-Schnirelmann category of simplicial complexes and finite spaces
Fernández Ternero, Desamparados; Macías Virgós, Enrique; Vilches Alarcón, José Antonio (Elsevier, 2015-10)In this paper we establish a natural definition of Lusternik-Schnirelmann category for simplicial complexes via the well ...
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Morse–Bott theory on posets and a homological Lusternik–Schnirelmann theorem
Fernández Ternero, Desamparados; Macías Virgós, Enrique; Mosquera Lois, David; Vilches Alarcón, José Antonio (World Scientific Publishing Company, 2021)We develop Morse–Bott theory on posets, generalizing both discrete Morse–Bott theory for regular complexes and Morse ...
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Simplicial Lusternik-Schnirelmann category
Fernández Ternero, Desamparados; Macías Virgós, Enrique; Minuz, Erica; Vilches Alarcón, José Antonio (Universidad Autónoma de Barcelona, 2019-01-01)The simplicial LS-category of a nite abstract simplicial complex is a new invariant of the strong homotopy type, de ned ...
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Using the Evolution Operator to Classify Evolution Algebras
Fernández Ternero, Desamparados; Gómez Sousa, Víctor Manuel; Núñez Valdés, Juan (MDPI, 2021-08-05)Evolution algebras are currently widely studied due to their importance not only “per se” but also for their many applications ...