Graded Identities and Central Polynomials for the Verbally Prime Algebras
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DOI: 10.1007/s10468-021-10085-3
Abstract: Let F be a field of characteristic zero and let R be an algebra that admits a regular grading by an abelian group H. Moreover, we consider G a group and let A be an… read more here.
Keywords: times mathbb; group; basis graded; graded identities ... See more keywords
On $${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}[\xi ]$$-skew cyclic codes
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DOI: 10.1007/s12190-021-01580-3
Abstract: $${\mathbb {Z}}_2{\mathbb {Z}}_{4}$$ -additive codes have been defined as a subgroup of $${\mathbb {Z}}_2^{r}\times {\mathbb {Z}}_4^{s}$$ in [6] where $${\mathbb {Z}}_2$$ , $${\mathbb {Z}}_{4}$$ are the rings of integers modulo 2 and 4 respectively and… read more here.
Keywords: times mathbb; mathbb mathbb; cyclic codes; mathbb ... See more keywords
On the class of metrics g on $${\mathbb {S}}^2\times {\mathbb {S}}^2$$S2×S2 conformal to the standard metric $$g_0$$g0 induced by $${\mathbb {R}}^6$$R6 and the Hopf conjecture
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DOI: 10.1007/s13370-017-0523-7
Abstract: The aim of this work is to prove that Hopf conjecture is true on the class of metrics g on $$M={\mathbb {S}}^2\times {\mathbb {S}}^2$$M=S2×S2 conformal to the standard metric $$g_0$$g0 induced by $${\mathbb {R}}^6$$R6 on… read more here.
Keywords: mathbb conformal; times mathbb; metrics mathbb; hopf conjecture ... See more keywords
A fundamental theorem for submanifolds in semi-Riemannian warped products
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DOI: 10.1016/j.geomphys.2019.05.013
Abstract: In this paper we find necessary and sufficient conditions for a nondegenerate arbitrary signature manifold $M^n$ to be realized as a submanifold in the large class of warped product manifolds $\varepsilon I\times_a\mathbb{M}^{N}_{\lambda}(c)$, where $\varepsilon=\pm 1,\… read more here.
Keywords: semi riemannian; mathbb lambda; theorem submanifolds; times mathbb ... See more keywords
$${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$-graded mechanics: the classical theory
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DOI: 10.1140/epjc/s10052-020-8242-x
Abstract: $${{\mathbb {Z}}}_2\times {{\mathbb {Z}}}_2$$-graded mechanics admits four types of particles: ordinary bosons, two classes of fermions (fermions belonging to different classes commute among each other) and exotic bosons. In this paper we construct the basic… read more here.
Keywords: mathbb graded; graded mechanics; times mathbb; mathbb times ... See more keywords
A Note on Positivity of Two-Dimensional Differential Operators
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DOI: 10.2298/fil1714651a
Abstract: We consider the two-dimensional differential operator $A^{(t,x)}u(t,x)=-a_{11}% \left( t,x\right) u_{tt}-a_{22}(t,x)u_{xx}+\sigma u$ defined on functions on the half-plane $\mathbb{R}^{+}\times \mathbb{R}$ with the boundary condition $u(0,x)=0,$ $x\in \mathbb{R}$ where $a_{ii}(t,x),$ $i=1,2$ are continuously differentiable and satisfy the… read more here.
Keywords: dimensional differential; times mathbb; mathbb times; two dimensional ... See more keywords