Results 121 to 130 of about 887,096 (204)

Computing real powers of monomial ideals

, 2022
This paper concerns the exponentiation of monomial ideals. While it is customary for the exponentiation operation on ideals to consider natural powers, we extend this notion to powers where the exponent is a positive real number.
Partida, Ethan, Roy, Ethan, Drabkin, Benjamin, Dongre, Pratik, Seceleanu, Alexandra, Lim, Josiah, Ruff, Dylan, Tang, Tingting   +7 more
core  

On properties of monomial ideals and algebras.

, 2022
Monomial ideals form an important link between commutative algebra and combinatorics. Our aim is to study various operations on monomial ideals and algebras, as well as their properties. This thesis consists of an introduction and four research articles. The introduction covers the necessary background and the existing results. The first two papers are
openaire   +2 more sources

Symbolic defect of monomial ideals

Communications in Algebra
Given a monomial ideal $I$, we study two functions that quantify ways to measure the difference between symbolic powers and usual powers of $I$. In many cases we determine the asymptotic growth rate of these two functions. We also perform explicit computations by using the symbolic polyhedron.
openaire   +2 more sources

Physics-Inspired Equivariant Descriptors of Nonbonded Interactions. [PDF]

J Phys Chem Lett, 2023
Huguenin-Dumittan KK, Loche P, Haoran N, Ceriotti M.   +3 more
europepmc   +1 more source

Some results on ${\rm v}$-number of monomial ideals

summary:We investigate the v-number of various classes of monomial ideals. First, we consider the relationship between the v-number and the regularity of the mixed product ideal $I$, proving that ${\rm v}(I) \leq {\rm reg}(S/I)$.
Hu, Kaiwen, Yang, Liuqing, Chu, Lizhong
core   +1 more source

A conjecture of Warnaar-Zudilin from deformations of lie superalgebras. [PDF]

Res Math Sci
Creutzig T, Garner N.
europepmc   +1 more source

Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]

Integr Equ Oper Theory
Arici F, Ge Y.
europepmc   +1 more source

Physical Layer Security in Two-Way SWIPT Relay Networks with Imperfect CSI and a Friendly Jammer. [PDF]

Entropy (Basel), 2023
Hayajneh M, Gulliver TA.
europepmc   +1 more source

Cohomología local con soporte un ideal monomial (D-módulos y combinatoria)

We study, by using the theory of algebraic $\cD$-modules, the local cohomology modules supported on a monomial ideal $I$ of the polynomial ring $R=k[x_1,\dots,x_n]$, where $k$ is a field of characteristic zero. We compute the characteristic cycle of $H_I^
Álvarez Montaner, Josep
core  

Algebraic Approach to Maximum Likelihood Factor Analysis. [PDF]

Psychometrika
Fukasaku R, Hirose K, Kabata Y, Teramoto K.   +3 more
europepmc   +1 more source