期刊论文详细信息
Czechoslovak Mathematical Journal | |
Order complex of ideals in a commutative ring with identity | |
Zoran Z. 1  Nela Milošević2  | |
[1] University of Belgrade, Faculty of Mathematics, Studentski trg 16, 11000 Belgrade, Serbia;University of Donja Gorica, Faculty for Information Systems and Technologies, Donja Gorica bb, 81000 Podgorica, Montenegro | |
关键词: ideal; commutative ring; order complex; homotopy type; | |
DOI : | |
学科分类:数学(综合) | |
来源: Akademie Ved Ceske Republiky | |
【 摘 要 】
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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201910183743546ZK.pdf | 114KB | download |