We investigate deformations of skew group algebras arising from the action symmetric on polynomial rings over fields arbitrary characteristic. Over real or complex numbers, Lusztig’s graded affine Hecke algebra and analogs are all isomorphic to Drinfeld algebras, which include symplectic reflection rational Cherednik algebras. prime characteristic, new arise that capture both a disruption also ...

The betatron coupling is one of the most important parameters of storage rings for high brilliant light source. By the precise alignment of the magnets [1] and the proper COD correction [2], the SPring-8 storage ring succeeded in achieving the very small linear betatron coupling without skew quadrupole corrector magnets. To prove this fact, we study the betatron coupling of the SPring-8 storage...

Assuming sufficiently many terms of an n-dimensional table defined over a field are given, we aim at guessing the linear recurrence relations with either constant or polynomial coefficients they satisfy. In applications, come along structure: for instance, may be zero outside cone, built from Gröbner basis ideal invariant under action finite group. Thus, show how to take advantage this structur...

Two digraphs of same order are said to be skew-equienergetic if their skew energies are equal. One of the open problems proposed by Li and Lian was to construct non-cospectral skew-equienergetic digraphs on n vertices. Recently this problem was solved by Ramane et al. In this  paper, we give some new methods to construct new skew-equienergetic digraphs.

In this paper, we study representations of ultragraph Leavitt path algebras via branching systems and, using partial skew ring theory, prove the reduction theorem for these algebras. We apply to show that are semiprime and completely describe faithfulness arising from systems, in terms dynamics systems. Furthermore, permutative provide a sufficient criteria representation an algebra be equivale...

Commissioning the compensation system of the solenoid in the BaBar detector presents a challenging problem due to the complexity of the system, which uses twelve normal quadrupoles and twelve skew quadrupoles in each ring. The setting of these skew quadrupoles needs to be readjusted according to the machine optical parameters since the machines always have some unknown errors. In this paper, we...

Let $A$ be an additively cancellative semialgebra over semifield $K$ as defined in [9]. For a given partial action $\alpha$ of group $G$ on algebra, the associativity skew ring together with existence and uniqueness enveloping (global) were studied by M. Dokuchaev R. Exel [2] which extended for semialgebras some restriction Sharma et. al. using differences. In similar way, we extend results [2,...

 In this paper, we consider a flexible skew-generalized normal distribution. This distribution is denoted by $FSGN(/lambda _1, /lambda _2 /theta)$. It contains the normal, skew-normal (Azzalini, 1985), skew generalized normal (Arellano-Valle et al., 2004) and skew flexible-normal (Gomez et al., 2011) distributions as special cases. Some important properties of this distribution are establi...