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3. Attached atoms in Grothendieck categories.

Author

Ahmadi, Kaivan and Sazeedeh, Reza

Subjects
ATOMS, GROTHENDIECK categories, ASSOCIATIVE rings, COMMUTATIVE rings, MODULES (Algebra)
Abstract

Let𝒜be a Grothendieck category. In this paper we define attached atoms of nonzero objects of𝒜as a dual of the associated atoms of nonzero objects introduced by Kanda [2]. IfRis a (non)commutative ring, then we show that this new notion can be corresponded to the attached prime ideals of nonzero modules introduced by Macdonald [5] and Annin [1]. [ABSTRACT FROM PUBLISHER]

Published
2017
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