进一步研究了余剩余格的一些性质,在此基础上证明了正则余剩余格与对合BCK-格是两个等价的代数系统。所得结果将有助于深入了解正则余剩余格的代数结构,也为相关多值逻辑系统的研究提供又一途径。
In this paper, some properties of the co-residuated lattices are further discussed, and based on this, it is proved that regular co-residuated lattices are equivalent to involutory BCK-lattices. These results will be useful for further studying the interior structures of regular co-residuated lattices, and also offer a new way for researching relative many-valued logic systems.