4 citations · 11 across the 10 of their papers we have counts for
11 papers
On G-Drazin inverses of Finite Potent Endomorphisms and Arbitrary Square Matrices
Fernando Pablos Romo
The aim of this work is to extend to finite potent endomorphisms the notion of G-Drazin inverse of a finite square matrix. Accordingly, we determine the structure and the propertie…
Moore-Penrose Inverse of some Linear Maps on Infinite-Dimensional Vector Spaces
V. Cabezas Sánchez, F. Pablos Romo
The aim of this work is to characterize linear maps of inner pro\-duct infinite-dimensional vector spaces where the Moore-Penrose inverse exists. This MP inverse generalizes the we…
Classification of Endomorphisms with an Annihilating Polynomial on Arbitrary Vector Spaces
Fernando Pablos Romo
The aim of this work is to offer a solution to the problem of the classification of endomorphisms with an annihilating polynomial on arbitrary vector spaces. For these endomorphism…
Classification of Finite Potent Endomorphisms
Fernando Pablos Romo
The aim of this work is to offer a family of invariants that allows us to classify finite potent endomorphisms on arbitrary vector spaces, generalizing the classification of endomo…
A General Reciprocity Law for Symbols on Arbitrary Vector Spaces
Fernando Pablos Romo
The aim of this work is to offer a general theory of reciprocity laws for symbols on arbitrary vector spaces, and to show that classical explicit reciprocity laws are particular ca…
A negative answer to the question of the linearity of Tate's Trace for the sum of two endomorphisms
Julia Ramos González, Fernando Pablos Romo
The aim of this note is to solve a problem proposed by J. Tate in 1968 by offering a counter-example of the linearity of the trace for the sum of two finite potent operators on an…
Determinants of finite potent endomorphisms, symbols and reciprocity laws
Daniel Hernández Serrano, Fernando Pablos Romo
The aim of this paper is to offer an algebraic definition of infinite determinants of finite potent endomorphisms using linear algebra techniques. It generalizes Grothendieck's det…
A General Reciprocity Law on arbitrary Vector Spaces
Fernando Pablos Romo
The paper contained a preliminary version of a general theory of reciprocity laws on vector spaces.
On the Steinberg property of the Contou-Carrere symbol
Fernando Pablos Romo
The aim of this work is to show that the Contou-Carrère symbol satisfies the property of Steinberg symbols: for all elements …
Geometric Construction of Generalized Local Symbols on Algebraic Curves
Fernando Pablos Romo
The aim of this work is to provide a construction of generalized local symbols on algebraic curves as morphisms of group schemes. From a closed point of a complete, irreducible and…
Simple proofs of classical explicit reciprocity laws on curves using determinant groupoids over an artinian local ring
Greg W. Anderson, Fernando Pablos Romo
The notion of determinant groupoid is a natural outgrowth of the theory of the Sato Grassmannian and thus well-known in mathematical physics. We briefly sketch here a version of th…