On the structure of hoops

被引：172
作者：
Blok, WJ
Ferreirim, IMA
机构：
[1] Univ Illinois, Dept Math Stat & Comp Sci, Chicago, IL 60607 USA
[2] Univ Lisbon, Fac Ciencias, Dept Matemat, P-1749016 Lisbon, Portugal
[3] Univ Lisbon, Ctr Algebra, P-1649003 Lisbon, Portugal
来源：
ALGEBRA UNIVERSALIS | 2000年 / 43卷 / 2-3期
关键词：
Basic Property; Finite Member; Integral Monoid; Residuated Integral Monoid;
D O I：
10.1007/s000120050156
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A hoop is a naturally ordered pocrim (i.e., a partially ordered commutative residuated integral monoid). We list some basic properties of hoops, describe in detail the structure of subdirectly irreducible hoops, and establish that the class of hoops, which is a variety, is generated, as a quasivariety, by its finite members.
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收藏
页码：233 / 257
页数：25
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