Displaying similar documents to “Order complex of ideals in a commutative ring with identity”

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].

Homotopy representability of Brauer groups.

Antonio Martínez Cegarra (1999)

Extracta Mathematicae

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The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.