K-álgebras finitas conmutativas con unidad

@article{Pinzn2016KlgebrasFC,
  title={K-{\'a}lgebras finitas conmutativas con unidad},
  author={Claudia Granados Pinz{\'o}n and Wilson Olaya Le{\'o}n},
  journal={Ingenier{\'i}a y Ciencia},
  year={2016},
  volume={12},
  pages={31-49}
}
espanolEn este articulo presentamos un estudio sobre las K-algebras finitas, es decir las K-algebras conmutativas con unidad que son espacios vectoriales de dimension finita sobre un cuerpo K. Estas son suma directa de K-algebras finitas locales. Caracterizamos la K-algebra finita local K[x]/(f(x)), mostramos que ciertas K-algebras finitas son isomorfas y descomponemos la K-algebra finita K[x]/(f(x)) en K-algebras finitas locales. EnglishThis paper is devoted to the study of finite K-algebras i… Expand
1 Citations
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References

SHOWING 1-10 OF 16 REFERENCES
Isomorphisms of ordered structures of abelian C⁎-subalgebras of C⁎-algebras
Abstract The aim of this note is to study the interplay between the Jordan structure of C ⁎ -algebra and the structure of its abelian C ⁎ -subalgebras. Let Abel ( A ) be a system of unital C ⁎Expand
Classifying Finite-Dimensional C*-Algebras by Posets of Their Commutative C*-Subalgebras
We consider the functor C${\mathcal {C}}$ that to a unital C*-algebra A assigns the partial order set C(A)${\mathcal {C}}(A)$ of its commutative C*-subalgebras ordered by inclusion. We investigateExpand
Nakayama automorphisms of Frobenius algebras
Abstract We show that the Nakayama automorphism of a Frobenius algebra R over a field k is independent of the field (Theorem 4). Consequently, the k-dual functor on left R-modules and the bimoduleExpand
Characterizations of Categories of Commutative C*-Subalgebras
We aim to characterize the category of injective *-homomorphisms between commutative C*-subalgebras of a given C*-algebra A. We reduce this problem to finding a weakly terminal commutative subalgebraExpand
Domains of Commutative C-Subalgebras
  • C. Heunen, B. Lindenhovius
  • Computer Science, Mathematics
  • 2015 30th Annual ACM/IEEE Symposium on Logic in Computer Science
  • 2015
TLDR
It is shown that a given operator algebra is scattered if and only if its associated partial order is continuous (a domain), algebraic, atomistic, quasi-continuous, or quasialgebraic. Expand
ISOMORPHISM TYPES OF COMMUTATIVE ALGEBRAS OF FINITE RANK OVER AN ALGEBRAICALLY CLOSED FIELD
Let k be an algebraically closed eld. We list the nitely many isomorphism types of rank n commutative k-algebras for n 6. There are innitely many types for each n 7.
Interpretación proyectiva de las geometrías métricas, equiformes e inversivas
La estructura de espacio afin metrico se define usualmente mediante cuatro objetos: un conjunto, un espacio vectorial real, una accion del espacio vectorial sobre el conjunto y una forma bilinealExpand
Métricas, compactificaciones y extensiones del cuerpo real
SE ESTUDIA LA RELACION ENTRE LAS EXTENSIONES DE GRADO 2 DEL CUERPO REAL, (NUMEROS COMPLEJOS, NUMEROS PARACOMPLEJOS, NUMEROS DUALES) LAS METRICAS DEL PLANO REAL, LAS COMPACTIFICACIONES CUADRATICAS DELExpand
Commutative Algebra: with a View Toward Algebraic Geometry
Introduction.- Elementary Definitions.- I Basic Constructions.- II Dimension Theory.- III Homological Methods.- Appendices.- Hints and Solutions for Selected Exercises.- References.- Index ofExpand
A Three-Dimensional Laguerre Geometry and Its Visualization
We describe and visualize the chains of the 3-dimensional chain geometry over the ring $R(\epsilon)$, $\epsilon^3=0$
...
1
2
...