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Displaying similar documents to “Mappings of degree 5, part I”

Relations between Elements r²-r

Andrzej Prószyński (2007)

Bulletin of the Polish Academy of Sciences. Mathematics

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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].

The product formula.

Genaro López Acedo (1991)

Collectanea Mathematica

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A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor...