摘要
研究了有界伪相等代数,格伪相等代数,对合伪相等代数,预线性伪相等代数和交换伪相等代数的性质,并且详细地讨论了它们之间的关系。此外,利用伪相等代数和伪剩余格的性质证明了对合伪相等代数和对合伪剩余格是等价的。
The paper focuses on the properties of bounded, lattice, involutive, prelinear and commutative pseudo equalityalgebras. Then the relations between these pseudo equality algebras are discussed in detail. Furthermore, using the properties of pseudo equalityalgebras and pseudo residuated lattices, it is proved that involutive pseudo equalityalgebras and involutive pseudo residuated lattices are equivalent.
作者
赵马盼
陈转华
颉永建
ZHAO Ma-pan;CHEN Zhuan-hua;XIE Yong-jian(School of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710119,China)
出处
《模糊系统与数学》
北大核心
2021年第4期1-14,共14页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(61673250)
陕西省自然科学基础研究计划项目(2020JM-274)
中央高校基本科研业务费重点项目(GK201902004)。
关键词
格伪相等代数
对合伪相等代数
预线性伪相等代数
交换伪相等代数
伪剩余格
Lattice Pseudo Equality Algebra
Involutive Pseudo Equality Algebra
Prelinear Pseudo Equality Algebra
Commutative Pseudo Equality Algebra
Pseudo Residuated Lattice
