On n-derivations and Relations between Elements rⁿ−r for Some n

• Autorzy: Maciejewski M. , Prószyński A.

Identyfikatory

DOI

10.4064/ba62-1-4

• Języki publikacji: EN

Abstrakty

EN

We find complete sets of generating relations between the elements [r]=rⁿ−r for n=2^l and for n=3. One of these relations is the n-derivation property [rs]=rⁿ[s]+s[r], r,s∈R.

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 1
• Strony: 29--42
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Maciejewski M.

• Kazimierz Wielki University 85-072 Bydgoszcz, Poland

autor

Prószyński A.

• Kazimierz Wielki University 85-072 Bydgoszcz, Poland

Bibliografia

• [1] M. Maciejewski and A. Prószyński, Mappings of degree 5, part II, in preparation.
• [2] A. Prószyński, Forms and mappings. I: Generalities, Fund. Math. 122 (1984), 219{235.
• [3] A. Prószyński, Forms and mappings. III: Regular m-applications, Comment. Math. 28(1989), 305{330.
• [4] A. Prószyński, Forms and mappings. IV: Degree 4, Bull. Polish Acad. Sci. 37 (1989), 269{278.
• [5] A. Prószyński, Mappings of Higher Degrees, WSP, Bydgoszcz, 1987 (in Polish).
• [6] A. Prószyński, Relations between elements r2 -r, Bull. Polish Acad. Sci. Math. 55(2007), 317{323.