Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/185
Title: Order complex of ideals in a commutative ring with identity
Authors: Milošević, Nela
Petrović, Zoran 
Affiliations: Algebra and Mathematical Logic 
Keywords: commutative ring;homotopy type;ideal;order complex
Issue Date: 1-Dec-2015
Journal: Czechoslovak Mathematical Journal
Abstract: 
Order complex is an important object associated to a partially ordered set. Following a suggestion from V. A. Vassiliev (1994), we investigate an order complex associated to the partially ordered set of nontrivial ideals in a commutative ring with identity. We determine the homotopy type of the geometric realization for the order complex associated to a general commutative ring with identity. We show that this complex is contractible except for semilocal rings with trivial Jacobson radical when it is homotopy equivalent to a sphere.
URI: https://research.matf.bg.ac.rs/handle/123456789/185
ISSN: 00114642
DOI: 10.1007/s10587-015-0219-9
Appears in Collections:Research outputs

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