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Order-coherent archimedean f-algebras
被引:0
|作者:
Jerman, M
[1
]
机构:
[1] Univ Ljubljana, Fac Math & Phys, SI-1000 Ljubljana, Slovenia
关键词:
po-coherent ring;
uniformly complete f-algebra;
Dedekind sigma-complete f-algebra;
coherent ring;
projectable ring;
the first convexity property;
U-algebra;
D O I:
10.1007/s000120200014
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Let A be an Archimedean uniformly complete f-algebra with unit element. It is shown that A is a po-coherent ring (in the sense of F. Wehrung) if and only if A is Dedekind sigma-complete.
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页码:485 / 496
页数:12
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