Variety generated by conical residuated lattice-ordered idempotent monoids

被引：5
|
作者：
Chen, Wei [1 ]
Chen, Yizhi [2 ]
机构：
[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
[2] Huizhou Univ, Dept Math, Huizhou 516007, Guangdong, Peoples R China
来源：
SEMIGROUP FORUM | 2019年 / 98卷 / 03期
关键词：
Residuated lattice; Finite embeddability property; Regular band;
D O I：
10.1007/s00233-019-10014-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the variety generated by conical idempotent residuated lattices. After obtaining some properties of conical idempotent residuated lattices, we establish a chain decomposition theorem for conical idempotent residuated lattices and give an equational basis for the variety. It is proved that the variety has the finite embeddability property. It is also proved that the semigroup reduct of a semiconical idempotent residuated lattice is a regular band.
引用
收藏
页码：431 / 455
页数：25
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