Services on Demand
Journal
Article
Indicators
- Cited by SciELO
- Access statistics
Related links
- Cited by Google
- Similars in SciELO
- Similars in Google
Share
Revista Integración
Print version ISSN 0120-419X
Integración - UIS vol.29 no.2 Bucaramanga July/Dec. 2011
Some remarks on a generalized vector product
PRIMITIVO ACOSTA-HUMÁNEZ a*,
MOISÉS ARANDA b, REINALDO NÚÑEZ c
a Universidad del Norte, Departamento de Matemáticas, Barranquilla, Colombia.
b Pontificia Universidad Javeriana, Departamento de Matemáticas, Bogotá, Colombia.
c Universidad Sergio Arboleda, Escuela de Matemáticas, Bogotá, Colombia.
Abstract. In this paper we use a generalized vector product to construct an exterior form ∧ : , where Finally, for n = k - 1 we introduce the reversing operation to study this generalized vector product over palindromic and antipalindromic vectors.
Keywords: alternating multilinear function, antipalindromic vector, exterior product, palindromic vector, reversing, vector product.
MSC2000: 15A75, 15A72.
Algunas observaciones sobre un producto vectorial
generalizado
Resumen. En este artículo usamos un producto vectorial generalizado para construir una forma exterior ∧ : , en donde como es natural, Finalmente, para n = k - 1 introducimos la operación reversar para estudiar este producto vectorial generalizado sobre vectores palindrómicos y antipalindrómicos.
Palabras claves: función multilineal alternante, producto exterior, producto vectorial, reversar, vector palindrómico, vector antipalindrómico.
Texto Completo disponible en PDF
References
[1] Acosta-Humánez P., Chuquen A. and Rodríguez A., "Pasting and Reversing operations over some rings", Boletín de Matemáticas, 17 (2010), 143164 [ Links ]
[2] Acosta-Humánez P., Chuquen A. and Rodríguez A., "Pasting and Reversing operations over some vector spaces", Preprint (2011), 23p. [ Links ]
[3] Aranda M. and Núñez R., "The Cramer's rule via generalized vector product over Rn" (Spanish), Universitas Scientorum, Investigaciones Matemáticas, 8 (2003), 1315. [ Links ]
[4] Harris J., Algebraic Geometry, A First Course, Springer, New York, 1992. [ Links ]
[5] Hodge W.V.D. and Pedoe D., Methods of Algebraic Geometry, I, Cambridge University Press, 1994. [ Links ]
[6] Lang S., Linear Algebra, Undergraduate Texts in Mathematics, Springer, New York, 1987. [ Links ]
[7] Marmolejo M., "Vector product over ℝn: The Lagrange's general identity" (Spanish), Matemáticas enseñanza universitaria, 3 (1994), 109117. [ Links ]
[8] Olivert J., Structures of multilinear algebra (Spanish), Universidad de Valencia, Valencia, 1996. [ Links ]
*Corresponding author: E-mail : acostahumanez@uninorte.edu.co.
Received: July 30, 2011, Accepted: August 30, 2011.