On strong automorphisms of direct products of Witt rings. Part 2

• Autorzy: Stępień M. R. , Stępień L.
• Języki publikacji: EN

Abstrakty

EN

In the paper strong automorphisms of finitely generated Witt rings are considered. Every finitely generated Witt ring can be expressed in terms of Z / 2Z and basic indecomposable Witt rings using the operations of group ring formation and direct product. Groups of strong automorphisms of basic indecomposables and their direct products and the description of all strong automorphisms of any group Witt ring are known. In this paper the strong automorphisms of direct products of group Witt rings are considered. Presented are two wide classes of Witt rings where the group of strong automorphisms is isomorphic to the direct product of groups of strong automorphisms of Witt rings which are factors in the direct product.

Słowa kluczowe

EN

Witt rings; strong automorphisms; group rings

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 4
• Strony: 119--125
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Stępień M. R.

• Chair of Mathematics, Kielce University of Technology Kielce, Poland

autor

Stępień L.

• Institute of Mathematics and Computer Science, Jan Długosz University Częstochowa, Poland

Bibliografia

• [1] Marshall M., Abstract Witt Rings, volume 57 of Queen's Papers in Pure and Applied Math. Queen's University, Ontario 1980.
• [2] Stępień M.R., Stępień L., On strong automorphisms of products of Witt rings (I), Journal of Applied Mathematics and Computational Mechanics 2013, 12, 3, 123-133.
• [3] Stępień M.R., Automorphisms of Witt rings and quaternionic structures, Scientific Research of the Institute of Mathematics and Computer Science 2011, 1(10), 231-237.
• [4] Stępień M., Automorphisms of Witt rings, unpublished PhD thesis, University of Silesia, Katowice 2010 (in Polish).
• [5] Stępień M., Automorphisms of products of Witt rings of local type, Acta Mathematica et Informatica Universitatis Ostraviensis 2002, 10, 125-131.
• [6] Stępień M., Automorphisms of Witt rings of elementary type, [in:] Mathematica. Proceedings of the XIth Slovak-Polish-Czech Mathematical School, Pedagogical Faculty Catholic University in Ružomberok 2004, June 2nd - 5th, 62-67.
• [7] Stępień L., Stępień M.R., Automatic search of automorphisms of Witt rings, Scientific Issues. Mathematics, XVI, Jan Długosz University, Częstochowa 2011, 141-146.