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On centralizer of semiprime inverse semiring

100%

Sara S., Aslam M., Javed M.

Discussiones Mathematicae - General Algebra and Applications

2016

tom 36

nr 1

71-84

Let S be 2-torsion free semiprime inverse semiring satisfying A₂ condition of Bandlet and Petrich [1]. We investigate, when an additive mapping T on S becomes centralizer.

Convergence of power series along vector fields and their commutators; a Cartan-Kähler type theorem

75%

Jakubczyk B.

Annales Polonici Mathematici

2000

tom 74

nr 1

117-132

We study convergence of formal power series along families of formal or analytic vector fields. One of our results says that if a formal power series converges along a family of vector fields, then it also converges along their commutators. Using this theorem and a result of T. Morimoto, we prove analyticity of formal solutions for a class of nonlinear singular PDEs. In the proofs we use results from control theory.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Discussiones Mathematicae - General Algebra and Applications

1 Aslam M.

1 Jakubczyk B.

1 Javed M.

1 Sara S.

1 2016

1 2000

Wyniki wyszukiwania

On centralizer of semiprime inverse semiring

Convergence of power series along vector fields and their commutators; a Cartan-Kähler type theorem