Results 11 to 20 of about 54 (52)

Съвременна теория на Галоа и нейните класически задачи

, 2023
[Michailov Ivo M.; Михайлов Иво М.]In this survey we outline the milestones of several classical problems in Galois theory: Noether’s problem, the inverse problem and the embedding problem.
Michailov, Ivo M.
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The Hilbert series of the superspace coinvariant ring

Forum of Mathematics, Pi
Let $\Omega _n$ be the ring of polynomial-valued holomorphic differential forms on complex n-space, referred to in physics as the superspace ring of rank n.
Brendon Rhoades, Andrew Timothy Wilson
doaj   +1 more source

A conjecture of Mallows and Sloane with the universal denominator of Hilbert series

Open Mathematics
A conjecture of Mallows and Sloane conveys the dominance of Hilbert series for finding basic invariants of finite linear groups if the Hilbert series of the invariant ring is of a certain explicit canonical form.
Zhang Yang, Nan Jizhu, Ma Yongsheng
doaj   +1 more source

Establishment of clinical criteria for the diagnosis of adverse food reactions in dogs with atopic dermatitis

Veterinary Dermatology, Volume 35, Issue 4, Page 418-431, August 2024.
Background – Diagnosis of canine adverse food reactions (AFRs) is based on vague criteria, such as ‘>50% improvement’ during elimination diet trial (EDT) followed by ‘deterioration’ during provocation test (PT). Objective – The objective of the study was to use predefined criteria to evaluate response during EDT [i.e., Owner Global Assessment of ...
Evi I. Sofou, Svetlina Aleksandrova, Manolis Chatzis, Elisa Samuel (Badulescu), Manolis N. Saridomichelakis   +4 more
wiley   +1 more source

A Note About the Nowicki Conjecture on Weitzenböck Derivations [PDF]

, 2009
2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.We reduce the Nowicki conjecture on Weitzenböck derivations of polynomial algebras to a well known problem of classical invariant ...
Bedratyuk, Leonid
core  

Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series [PDF]

, 2010
2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are ...
Bedratyuk, Leonid
core  

Weitzenböck Derivations and Classical Invariant Theory II: The Symbolic Method [PDF]

, 2011
2000 Mathematics Subject Classification: 13N15, 13A50, 13F20.An analogue of the symbolic method of classical invariant theory for a representation and manipulation of the elements of the kernel of Weitzenböck derivations is ...
Bedratyuk, Leonid
core  

INVARIANTS AND COINVARIANTS OF FINITE PSEUDOREFLECTION GROUPS, JACOBIAN DETERMINANTS AND STEENROD OPERATIONS

, 2001
Let $\rho:G\hookrightarrow\GL(n,\F)$ be a representation of a finite group $G$ over a finite field $\F$ and $f_1,\dots,f_n\in\F[V]^G$ such that the ring of invariants is a polynomial algebra $\F[f_1,\dots,f_n]$.
Larry Smith
core   +1 more source

Computing with rational symmetric functions and applications to invariant theory and PI-algebras [PDF]

, 2012
2010 Mathematics Subject Classification: 05A15, 05E05, 05E10, 13A50, 15A72, 16R10, 16R30, 20G05Let K be a field of any characteristic. Let the formal power series f(x1, ..., xd) = ∑ αnx1^n1 ··· xd^nd = ∑ m(λ)Sλ(x1, ..., xd), αn, m(λ) ∈ K, be a ...
Drensky, V, Koev, Plamen, Francesca Benanti, BENANTI, Francesca Saviella, Koev, P, Vesselin Drensky, Boumova, S, Boumova, Silvia, Genov, G, K. Genov, Georgi, Benanti, Francesca, Silvia Boumova, Georgi K. Genov, Plamen Koev, Drensky, Vesselin   +14 more
core  

Parallel kinetic resolution of aziridines via chiral phosphoric acid-catalyzed apparent hydrolytic ring-opening. [PDF]

Chem Sci, 2023
Liu J, Du YY, He YS, Liang Y, Liu SZ, Li YY, Cao YM.   +6 more
europepmc   +1 more source