Relations between elements r²-r

• Autorzy: Prószyński A.
• Języki publikacji: EN

Abstrakty

EN

We prove that generating relations between the elements [r] = r² - r of a commutative ring are the following: [r + s] = [r] + [s] + rs[2] and [rs] = r²[s] + 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: 2007
• Tom: Vol. 55, no 4
• Strony: 317--323
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Prószyński A.

• Kazimierz Wielki University, 85-072 Bydgoszcz, Poland,

Bibliografia

• [1] M. Maciejewski and A. Prószyński, Mappings of degree 5, part I, in preparation.
• [2] A. Prószyński, Forms and mappings. I: Generalities, Fund. Math. 122 (1984), 219- 235.
• [3] —, Forms and mappings. III: Regular m-applications, Comment. Math. 28 (1989), 305-330.
• [4] —, Forms and mappings. IV: Degree 4, Bull. Polish Acad. Sci. Math. 37 (1989), 269-278.
• [5] A. Prószyński, Mappings of higher degrees, WSP Bydgoszcz, 1987 (in Polish).