FREE REPRESENTABLE IDEMPOTENT COMMUTATIVE RESIDUATED LATTICES

被引：7

作者：

Olson, Jeffrey S. ^{[1
]}

机构：

[1] Norwich Univ, Dept Math, Northfield, VT 05663 USA

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2008年 / 18卷 / 08期

关键词：

Residuated lattice; representable; free algebra; free spectrum;

D O I：

10.1142/S0218196708004858

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The structure of simple and directly indecomposable members of the variety RICRL of representable idempotent commutative residuated lattices is described. These descriptions are employed to determine the size and structure of free algebras in RICRL, using existing theory on the Fraser-Horn and Apple properties. A formula for the free spectrum of RICRL is given.

引用

页码：1365 / 1394

页数：30

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