Results 11 to 20 of about 908,506 (166)

The Influence of Omega-3 Fatty Acids and Probiotics on Hippocampal Inflammation and Glial Cells in a Chronic Anorexia Nervosa Rat Model. [PDF]

Int J Eat Disord
ABSTRACT Objective Anorexia nervosa (AN) is a severe eating disorder associated with brain volume reduction, glial cell loss, microbiome alterations, and dysregulated pro‐inflammatory mechanisms. However, the underlying cellular mechanisms remain inadequately elucidated, and interventions addressing these alterations are lacking.
Thelen AC, Andreani N, Korten NM, Neumann M, Verspohl V, van Egmond M, Kneisel L, Voelz C, Blischke L, Baines JF, Baier J, Schumacher J, Kiessling F, Herpertz-Dahlmann B, Beyer C, Keller L, Seitz J, Trinh S.   +17 more
europepmc   +2 more sources

Sudoku and Gröbner Bases [PDF]

, 2006
Sudoku is a logic-based placement puzzle. We recall how to translate this puzzle into a 9-colouring problem which is equivalent to a (big) algebraic system of polynomial equations.
Hartillo Hermoso, Isabel, Gago Vargas, Manuel Jesús, Ucha Enríquez, José María, Martín Morales, Jorge   +3 more
core   +1 more source

Gröbner bases [PDF]

, 2023
Las bases de Gröbner son una herramienta esencial en la geometría algebraica computacional moderna, pues permiten trabajar algorítmicamente con ideales de polinomios en varias variables.
Alcántara García, David Ignacio
core  

Boolean Gröbner bases [PDF]

, 2011
In recent years, Boolean Gröbner bases have attracted the attention of many researchers, mainly in connection with cryptography. Several sophisticated methods have been developed for the computation of Boolean Gröbner bases.
Inoue, Shutaro, Sakai, Ko, Yosuke Sato, Shutaro Inoue, Suzuki, Akira, Akira Suzuki, Nabeshima, Katsusuke, Sato, Yosuke, Katsusuke Nabeshima, Ko Sakai   +9 more
core   +1 more source

Multiplicative bases, Gröbner bases, and right Gröbner bases [PDF]

, 2000
In this paper, we study conditions on algebras with multiplicative bases so that there is a Gröbner basis theory. We introduce right Gröbner bases for a class of modules.
Green, Edward L., Edward L. Green
core   +1 more source

s-Sequences and Monomial Modules

Mathematics, 2021
In this paper we study a monomial module M generated by an s-sequence and the main algebraic and homological invariants of the symmetric algebra of M. We show that the first syzygy module of a finitely generated module M, over any commutative Noetherian ...
Gioia Failla, Paola Lea Staglianó
doaj   +1 more source

An Algorithm to Compute the H-Bases for Ideals of Subalgebras

Discrete Dynamics in Nature and Society, 2021
The concept of H-bases, introduced long ago by Macauly, has become an important ingredient for the treatment of various problems in computational algebra.
Rabia, Muhammad Ahsan Binyamin, Nazia Jabeen, Adnan Aslam, Kraidi Anoh Yannick   +4 more
doaj   +1 more source

Canonical comprehensive Gröbner bases [PDF]

, 2002
Comprehensive Gröbner bases for parametric polynomial ideals were introduced, constructed, and studied by the author in 1992. Since then the construction has been implemented in the computer algebra systems aldes/sac-2, mas, reduce and maple.
Volker Weispfenning, Weispfenning, Volker   +1 more
core   +1 more source

Stability of Gröbner bases [PDF]

, 1988
Gröbner bases are distinguished sets of generators of ideals in polynomial rings. They can be used to solve computational problems in polynomial rings. If an ideal is given by finitely many generators, then the Buchberger algorithm can be used to compute
Schwartz, Niels
core   +1 more source

A note on Computing SAGBI-Grobner bases in a Polynomial Ring over a Field [PDF]

Computer Science Journal of Moldova, 2006
In the paper [2] Miller has made concrete Sweedler's theory for ideal bases in commutative valuation rings (see [5]) to the case of subalgebras of a polynomial ring over a field, the ideal bases are called SAGBI-Grobner bases in this case.
Hans Ofverbeck
doaj