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São Paulo Journal of Mathematical Sciences Volume 10 Issue 1

Subject Areas: Computational Theory and Mathematics
Publisher: Springer International Publishing - Springer Journals
ISSN: 1982-6907
SJR: 7

LitStream

Journal Article

Planar surfaces in positive characteristic

Voloch, José

2015 São Paulo Journal of Mathematical Sciences

doi:10.1007/s40863-015-0011-7

A planar surface is a surface in three-space in which every tangent line has triple or higher contact with the surface at the point of tangency. We study properties of planar surfaces in positive characteristics, use that to bound the number of points of a planar surface over a finite field and...
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Journal Article

Generalized root systems and the affine Lie superalgebra $${\mathrm {G}}^{(1)}(3)$$ G ( 1 ) ( 3 )

Yamane, Hiroyuki

2015 São Paulo Journal of Mathematical Sciences

doi:10.1007/s40863-015-0021-5

We give a new proof of the presentation of the affine Lie superalgebra $${\mathrm {G}}^{(1)}(3)$$ G ( 1 ) ( 3 ) using a Weyl groupoid.
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Journal Article

Vector fields on $$\Pi $$ Π -symmetric flag supermanifolds

Vishnyakova, E.

2015 São Paulo Journal of Mathematical Sciences

doi:10.1007/s40863-015-0008-2

The main result of this paper is the computation of the Lie superalgebras of holomorphic vector fields on the complex $$\Pi $$ Π -symmetric flag supermanifolds, introduced by Yu. I. Manin. We prove that with one exception any vector field is fundamental with respect to the natural action of...
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Journal Article

On an isoperimetric inequality and various methods for the Bernoulli’s free boundary problems

Seck, Diaraf

2015 São Paulo Journal of Mathematical Sciences

doi:10.1007/s40863-015-0012-6

This survey paper on the Bernoulli’s free boundary problems, deals with some important questions of geometric analysis of optimal shapes. Isoperimetric inequality is discussed and other geometric qualitative properties such as symmetry and convexity properties. A comparison of diffrent approaches...
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Journal Article

d-Hermite rings and skew $$\textit{PBW}$$ PBW extensions

Lezama, Oswaldo; Gallego, Claudia

2015 São Paulo Journal of Mathematical Sciences

doi:10.1007/s40863-015-0010-8

In this short paper we study the d-Hermite condition about stably free modules for skew $$\textit{PBW}$$ PBW extensions. For this purpose, we estimate the stable rank of these non-commutative rings. In addition, and closely related with these questions, we will prove Kronecker’s theorem...
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Journal Article

Stratifying systems over the hereditary path algebra with quiver $$\mathbb {A}_{p,q}$$ A p , q

Cadavid, Paula; Marcos, Eduardo

2015 São Paulo Journal of Mathematical Sciences

doi:10.1007/s40863-015-0029-x

The authors have proved in Cadavid and Marcos (J Algebra Appl 14:1550093, 2015) that the size of a stratifying system over a finite-dimensional hereditary path algebra A is at most n, where n is the number of isomorphism classes of simple A-modules. Moreover, if A is of Euclidean type a...
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Journal Article

Ball convergence theorems for Maheshwari-type eighth-order methods under weak conditions

Argyros, Ioannis; George, Santhosh

2015 São Paulo Journal of Mathematical Sciences

doi:10.1007/s40863-015-0009-1

We present a local convergence analysis for a family of Maheshwari-type eighth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier studies such as Cordero et al. (J Comput Appl Math 291(1):348–357, 2016),...
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Journal Article

Free symmetric and unitary pairs in group algebras with involution

Goncalves, Jairo; Shirvani, Mazi

2015 São Paulo Journal of Mathematical Sciences

doi:10.1007/s40863-015-0026-0

Let kG be the group algebra of the non abelian locally finite group G over the non absolute field k of characteristic $$\ne 2$$ ≠ 2 , and let $$^{*}$$ ∗ be an involution of kG, extended linearly from an involution of G. We give necessary and sufficient conditions for kG to...

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São Paulo Journal of Mathematical Sciences Volume 10 Issue 1

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