基于Quantale矩阵的定义,本文讨论了Quantale矩阵的行列式的若干性质。在交换Quantale情形下,得到|AB|≥|A||B|,|AB|≤|A+B|,|AA^*|≤|A|,其中A^*表示Quantale上的矩阵A的伴随矩阵。
Based on the definition of quantale matrices, some properties on the determinant of quantale matrices are studied. In the commutive quantale, it is obtained that det (AB) ≥det (A) det (B) , det(AB)≤det(A+B), det (AA^*)≤ det (A), where A^* denotes the adjoint matrix of quantale matrix A.