Results 171 to 180 of about 887,096 (204)

Fault Tree Reliability Analysis via Squarefree Polynomials: Mathematical and Experimental Analysis. [PDF]

SN Comput Sci
Lopuhaä-Zwakenberg M.
europepmc   +1 more source

Topology-Evolving Image Encryption Algorithm Utilizing 2D Rosenbrock-Schwefel Hyperchaotic Map. [PDF]

Entropy (Basel)
Song W, Shen H, Zhang X, Zou C.
europepmc   +1 more source

Commutative Algebra Modeling in Materials Science - A Case Study on Metal-Organic Frameworks (MOFs). [PDF]

J Chem Inf Model
Khaemba CS, Feng H, Chen D, Chen CL, Wei GW, Wei GW.   +5 more
europepmc   +1 more source

Discretization of Non-uniform Rational B-Spline (NURBS) Models for Meshless Isogeometric Analysis. [PDF]

J Sci Comput
Duh U, Shankar V, Kosec G.
europepmc   +1 more source

On Ideals Whose Radical Is a Monomial Ideal

Communications in Algebra, 2005
We develop a new general method for constructing a polynomial ideal that has the same radical as a given monomial ideal, but has fewer generators. This provides upper bounds for the arithmetical rank of monomial ideals.
Margherita Barile
exaly   +2 more sources

Monomial Ideals under Ideal Operations [PDF]

Communications in Algebra, 2015
In this paper, we show for a monomial ideal $I$ of $K[x_1,x_2,\ldots,x_n]$ that the integral closure $\ol{I}$ is a monomial ideal of Borel type (Borel-fixed, strongly stable, lexsegment, or universal lexsegment respectively), if $I$ has the same property.
Tongsuo Wu, Jin Guo
exaly   +3 more sources

Bases and Ideal Generators for Projective Monomial Curves

Communications in Algebra, 2012
In this article we study bases for projective monomial curves and the relationship between the basis and the set of generators for the defining ideal of the curve.
Roberts, Leslie G, Li, Ping, Patil, DP
exaly   +2 more sources

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Combinatorial decompositions for monomial ideals

Journal of Symbolic Computation, 2021
The concept of involutive division has been introduced first in the works of \textit{Ch. Riquier} [Les systèmes d'équations aux dérivées partielles. Paris: Gauthier-Villars (1909; JFM 40.0411.01)] and \textit{M. Janet} [Leçons sur les systèmes d'équations aux dérivées partielles. Paris: Gauthier-Villars (1929; JFM 55.0276.01)].
openaire   +3 more sources

Superficial ideals for monomial ideals

Journal of Algebra and Its Applications, 2018
Let [Formula: see text] and [Formula: see text] be two ideals in a commutative Noetherian ring [Formula: see text]. We say that [Formula: see text] is a superficial ideal for [Formula: see text] if the following conditions are satisfied: (i) [Formula: see text], where [Formula: see text] denotes a minimal set of generators of an ideal [Formula: see ...
Rajaee, Saeed, Nasernejad, Mehrdad, Al-Ayyoub, Ibrahim   +2 more
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k-Decomposable Monomial Ideals

Algebra Colloquium, 2015
In this paper we introduce a class of monomial ideals, called k-decomposable ideals. It is shown that the class of k-decomposable ideals is contained in the class of monomial ideals with linear quotients, and when k is large enough, the class of k-decomposable ideals is equal to the class of ideals with linear quotients. In addition, it is shown that a
Rahmati-Asghar, Rahim, Yassemi, Siamak
openaire   +1 more source