Burdis, J.M.; Kogan, I.A.; Hong, H.(Symmetry, Integrability and Geometry: Methods and Applications, 2013)
We present a novel algorithm for deciding whether a given planar curve is an image of a given spatial curve, obtained by a central or a parallel projection with unknown parameters. The motivation comes from the problem of ...
Barreiro, E.(Algebra and Discrete Mathematics, 2010)
We present some properties of odd-quadratic Malcev superalgebras. The aim of this paper is to present the notions of double extension and generalized double extension of odd-quadratic Malcev superalgebras, culminating in ...
Takasaki, K.(Symmetry, Integrability and Geometry: Methods and Applications, 2012)
This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of ''Landau-Ginzburg potentials'' that play the ...
Bondarenko, V.; Tertychna, O.(Algebra and Discrete Mathematics, 2012)
Let I be a finite set (without 0) and J a subset of I × I without diagonal elements. Let S(I, J) denotes the semigroup generated by e₀ = 0 and ei, i ∈ I, with the following relations: e²i = ei for any i ∈ I, eiej = 0 for ...
Wei, S.W.(Symmetry, Integrability and Geometry: Methods and Applications, 2007)
Characterizations of entire subsolutions for the 1-harmonic equation of a constant 1-tension field are given with applications in geometry via transformation group theory. In particular, we prove that every level hypersurface ...
Let R be a ring, be an automorphism of R and δ be a σ-derivation of R. We define a δ property on R. We say that R is a δ-ring if aδ(a) ∊ P(R) implies a ∊ P(R), where P(R) denotes the prime radical of R. We ultimately ...
Reznykov, I.I.(Algebra and Discrete Mathematics, 2003)
We consider the sequence of 2-state Mealy automata over the finite alphabets, that have polynomial growth orders and define the infinitely presented automatic transformation
semigroups.
We find the nilpotency class of a group of 2-symmetric words for free nilpotent groups, free nilpotent metabelian groups, and free (nilpotent of class c)-by-Abelian groups.
Yildiz, A.; De, U.C.; Turan, M.(Український математичний журнал, 2013)
The aim of the present paper is to study 3-dimensional f-Kenmotsu manifolds and Ricci solitons. First, we give an example of a 3-dimensional f-Kenmotsu manifold. Then we consider a Riccisemisymmetric 3-dimensional f-Kenmotsu ...
For some natural classes of topological vector spaces, we show the absolute nonmeasurability of Minkowski’s sum of certain two universal measure zero sets. This result can be considered as a strong form of the classical ...
Hattai, T.; Ito, T.(Symmetry, Integrability and Geometry: Methods and Applications, 2015)
In [Kyushu J. Math. 64 (2010), 81-144], it is discussed that a certain subalgebra of the quantum affine algebra Uq(sl₂) controls the second kind TD-algebra of type I (the degenerate q-Onsager algebra). The subalgebra, which ...
There is considered the multidimensional two-phase Stefan problem with a small parameter k at the velocity of a free boundary in a Stefan condition. The unique solvability and coercive uniform with respect to k estimate ...
The existence and multiplicity of weak solutions for some nonuniformly nonlinear elliptic systems are obtained by using the minimum principle and the Mountain-pass theorem.
Subedi, T.; Roy, D.(Algebra and Discrete Mathematics, 2020)
Let J(R) denote the Jacobson radical of a ring R. We call a ring R as J-symmetric if for any a, b, c ∈ R, abc = 0 implies bac ∈ J(R). It turns out that J-symmetric rings are a common generalization of left (right) quasi-duo ...
Shima, K.; Tsuda, M.(Symmetry, Integrability and Geometry: Methods and Applications, 2006)
We show explicitly that a free Lagrangian expressed in terms of scalar, spinor, vector and Rarita-Schwinger (RS) fields is invariant under linear supersymmetry transformations generated by a global spinor-vector parameter. ...
Maksimenko, D.V.(Algebra and Discrete Mathematics, 2009)
Action of outer derivations on nilpotent ideals of Lie algebras are considered. It is shown that for a nilpotent ideal I of a Lie algebra L over a field F the ideal I+D(I) is nilpotent, provided that charF=0 or I nilpotent ...
Ayano, T.; Nakayashiki, A.(Symmetry, Integrability and Geometry: Methods and Applications, 2013)
A telescopic curve is a certain algebraic curve defined by m−1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n,s) curve as a special case. We extend the addition formulae for sigma ...
Shigyo, Y.(Symmetry, Integrability and Geometry: Methods and Applications, 2013)
In this paper we study the addition formulae of the KP, the mKP and the BKP hierarchies. We prove that the total hierarchies are equivalent to the simplest equations of their addition formulae. In the case of the KP and ...