CYTUVA

GIR - Ring Theory. Computational Applications and Methods

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Contact Information

Philippe Thierry Gimenez
Campus Miguel Delibes, Paseo Belén, 7
Valladolid, Valladolid (47011) - Ciencias
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983423053
983423013

Basic Information

UniversityUniversidad de Valladolid
Center
DepartmentAlgebra, Mathematical Analysis, Geometry and Topology
Investigation GroupRing Theory. Computational Applications and Methods

Description

OBJECTIVES

FOCUSES ON THOSE ESTABLISHED BY THE LINES OF INVESTIGATION. MEMBERS OF THE GROUP HAVE BEEN COLLABORATING FOR MORE THAN 10 YEARS UNDER PROJECTS AND OTHER AID SUBSIDIZED BY OFFICIAL, PUBLIC AND PRIVATE BODIES, AUTONOMIC, NATIONAL AND INTERNATIONAL.

THE INVESTIGATION ACTIVITY COVERS, AMONG OTHERS, THE FOLLOWING TOPICS:

LINEAR EQUATION SYSTEMS ON RINGS. FINITE FREE RESOLUTIONS.
CLASSIFICATION OF LINEAR DYNAMIC SYSTEMS ON RINGS.
FUNCTIONAL RING EXTENSIONS. COMPACTIFICATIONS.
CONVERGENCE STRUCTURES IN RINGS. TOPOLOGICAL RINGS.
ASSESSMENT STUDY DOMINATING REGULAR LOCAL RINGS.
ASSESSMENTS AND CLASSIFICATION OF SINGULARITIES OF HYPER-SURFACES.
DEVELOPMENT AND IMPLEMENTATION OF ALGORITHMS FOR THE CALCULATION OF NUMERICAL INVARIANT IDEALS OF RINGS OF POLYNOMIES.
LOCAL COHOMOLOGY AND FUNCTIONS OF HILBERT. SICIGES.

IN ADDITION TO THE BASIC RESEARCH WORK ON THE PREVIOUS TOPICS, IT IS CONSIDERED OF GREAT IMPORTANCE, BY THE MEMBERS OF THE RESEARCH GROUP, THAT OF THE APPLICATIONS. NOT ONLY IN THE AREA OF ALGEBRA AND IN MATHEMATICS, BUT ALSO IN MULTIDISCIPLINARY INVESTIGATION AND, IN PARTICULAR, IN ITS APPLICATIONS IN PHYSICS AND ENGINEERING.

LINES OF INVESTIGATION

Theory of Valuations and Equisingularity
Computational Aspects of Commutative Algebra and Effective Calculation of Invariants: Design and Implementation of Algorithms
Function Rings and Topological Rings
Linear Algebra on Rings. Systems and Control Theory

Other information

Number of researchers:

Technological Line(s):

- Experimental sciences

Development status:

In research and development phase

Differentiation in the market:

Quality

Applicability of technology:

Yes

Additional Information:

This GIR belongs to IMUVA (UVa Institute of Mathematical Research): http://www.imuva.uva.es/es

UNESCO Code:

1201 - Algebra

Other members:

JESUS MANUEL DOMINGUEZ GOMEZ
JOSE ENRIQUE MARCOS NAVEIRA
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MARIA DEL CARMEN MARTINEZ MARTINEZ
MIRIAM PISONERO PEREZ
ANA JOSE REGUERA LOPEZ
MARIA DEL PILAR PEREZ GONZALEZ

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