Results 91 to 100 of about 4,148,143 (214)

The category of a partitioned fan

Journal of the London Mathematical Society, Volume 111, Issue 2, February 2025.
Abstract In this paper the notion of an admissible partition of a simplicial polyhedral fan is introduced and the category of a partitioned fan is defined as a generalisation of the τ$\tau$‐cluster morphism category of a finite‐dimensional algebra. This establishes a complete lattice of categories around the τ$\tau$‐cluster morphism category, which is ...
Maximilian Kaipel
wiley   +1 more source

A Simple Introduction to Gröbner Basis Methods in String Phenomenology

Advances in High Energy Physics, 2011
I give an elementary introduction to the key algorithm used in recent applications of computational algebraic geometry to the subject of string phenomenology.
James Gray
doaj   +1 more source

Chow rings of matroids as permutation representations

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract Given a matroid with a symmetry group, we study the induced group action on the Chow ring of the matroid with respect to symmetric building sets. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincaré duality and the Hard Lefschetz theorem.
Robert Angarone, Anastasia Nathanson, Victor Reiner   +2 more
wiley   +1 more source

Border Basis of an Ideal of Points and its Application in Experimental Design and Regression

پژوهش‌های ریاضی, 2020
Introduction Border bases are a generalization of Gröbner bases for zero-dimensional ideals which have attracted the interest of many researchers recently. More precisely, border bases provide a new method to find a structurally stable monomial basis for
Samira Poukhajouei, Sare Goli, Amir Hashemi   +2 more
doaj  

Non-commutative computer algebra and molecular computing [PDF]

Computer Science Journal of Moldova, 2001
Non-commutative calculations are considered from the molecular computing point of view. The main idea is that one can get more advantage in using molecular computing for non-commutative computer algebra compared with a commutative one.
Svetlana Cojocaru, Victor Ufnarovski
doaj  

A new approach for the forward kinematics of nearly general Stewart platform with an extra sensor

Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2017
In this paper, a new approach for the forward kinematics of nearly general Stewart platform (i.e., both the fixed base and moving platform are restricted to planar platforms) with an extra sensor is presented.
Shili CHENG, Yanli LIU, Hongtao WU
doaj   +1 more source

Simultaneously Computing a Maximal Independent Set Modulo an Ideal and a Gröbner Basis of the Ideal

Mathematics
To solve problems on a positive-dimensional ideal, I⊂k[X], a maximal independent set U⊂X modulo I, and a Gröbner basis of Ie, where Ie is the extension of I to k(U)[V](V:=X∖U), are widely used. As far as we know, they are usually computed separately, i.e.
Ping Liu, Baoxin Shang, Shugong Zhang
doaj   +1 more source

The Grőbner basis of a Catalan path ideal [PDF]

Enumerative Combinatorics and Applications, 2022
Nantel Bergeron, Xavier Mootoo, Vedarth Vyas   +2 more
doaj   +1 more source

On the computation of Hilbert series and Poincare series for algebras with infinite Grobner bases [PDF]

Computer Science Journal of Moldova, 2000
In this paper we present algorithms to compute finite state automata which, given any rational language, recognize the languages of normal words and n-chains.
Jonas Mansson
doaj  

On Gröbner Basis Detection for Zero-dimensional Ideals [PDF]

, 2011
Prabhanjan Ananth, Ambedkar Dukkipati
openalex   +1 more source