Structure Analysis of Polynomial Modules with Pommaret Bases
Structure Analysis of Polynomial Modules with Pommaret Bases
Abstract We show how Pommaret bases of submodules of free polynomial modules can be used to extract structural information like the dimension, the depth or the CastelnuovoâMumford regularity. In particular, we discuss the syzygy theory of Pommaret bases and its use for the construction of free resolutions.