BL-代数上的⊙-导子
ON ⊙-DERIVATIONS OF BL-ALGEBRAS

本文引入了BL-代数的⊙-导子并研究了BL-代数上⊙-导子的相关问题.利用导子的保序性,不动点集和BL-代数的格理想,讨论了BL-代数上的保序∧-导子和保序⊙-导子的关系,并给出了G？del代数和线性G？del代数的刻画.这些结果丰富了逻辑代数上的导子理论.
In the paper, the ⊙-derivations of BL-algebras is introduced and investigated. By using the isotone property, the flxed set and lattice ideal, the relationship between an isotone ∧-derivation and an isotone ⊙-derivation is discussed, and the characterizations of G？del algebras and liner G？del algebras are given, which extends the derivation theory of logic algebras