%0 Journal Article %T BL-代数上的⊙-导子<br>ON ⊙-DERIVATIONS OF BL-ALGEBRAS %A 作者 %A 辛小龙 %A 冯敏 %A 杨永伟 %J 数学杂志 %D 2016 %X 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.<br>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 %K BL-代数 ⊙-导子 格理想 G? del 代数< %K br> %K BL-algebra ⊙-derivation lattice ideal G? del algebra %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20160312&flag=1