Determinantal identities over commutative semirings
The authors present a development of determinantal identities over commutative semirings. This includes the following themes: 1. Positive and negative determinants; 2. Determinantal identities; 3. Adjoint matrix identities; 4. A generalization of the Cauchy-Binet theorem; 5. Compound matrices; 6. Identities over semirings; 7. Laplace's expansion over semiring and the Laplace theorem. There are many examples in the paper.
scientific article; zbMATH DE number 2081240