Relations between Elements r^pl - r and p⋅1 for a Prime p

• Autorzy: Prószyński A.

Identyfikatory

DOI

10.4064/ba62-3-4

• Języki publikacji: EN

Abstrakty

EN

For any positive power n of a prime p we find a complete set of generating relations between the elements [r]=rⁿ − r and p⋅1 of a unitary commutative ring.

Słowa kluczowe

EN

ideals of commutative rings; generators and relations; higher degree mappings

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2014
• Tom: Vol. 62, no. 3
• Strony: 233--242
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Prószyński A.

• Kazimierz Wielki University, 85-072 Bydgoszcz, Poland

Bibliografia

• [1] M. Maciejewski and A. Prószyński, On n-derivations and relations between elements rn - r for some n, Bull. Polish Acad. Sci. Math. 62 (2014), 29–42.
• [2] A. Prószyński, Forms and mappings. I: Generalities, Fund. Math. 122 (1984), 219–235.
• [3] A. Prószyński, Mappings of Higher Degrees, WSP, Bydgoszcz, 1987 (in Polish).