Variety generated by conical residuated lattice-ordered idempotent monoids

被引：0
作者：
Wei Chen
Yizhi Chen
机构：
[1] Minnan Normal University,School of Mathematics and Statistics
[2] Huizhou University,Department of Mathematics
来源：
Semigroup Forum | 2019年 / 98卷
关键词：
Residuated lattice; Finite embeddability property; Regular band;
D O I：
暂无
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学科分类号：
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.
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页码：431 / 455
页数：24
相关论文
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