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中文摘要：
本文首先讨论了剩余格与FI代数之间、FI代数与MV代数之间的关系,对已有结果进行了改进。随后提出了预线性剩余格的概念,证明了预线性剩余格是BR0代数与BL代数的基础,从而也就是著名的MV代数、R0代数、G代数与Ⅱ代数的公共基础。
英文摘要：
This paper consists of two parts. In FI-algebra and MV-algebra are discussed, which part I, the ralationships among residuated lattice, have improved the known results. In part II, the concept of prelinearity residuated lattice is proposed, we show that prelinearity residuated lattice is the basis of BR0-algebra and BL-algebra, Therefore, the prelinearity residuated lattice is the basis of R0-algehra, MV-algebra, G-algebra and II-algebra. All of these algebra are important constructures in logic algebra.
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