This is a preview. Log in through your library . Abstract The cardinality of a minimal basis of an ideal $I$ is denoted $\nu(I)$. Let $A$ be a polynomial ring in $n ...

This is a preview. Log in through your library . Abstract We show that for every nonzero prime ideal P in a Noetherian domain R there are either just one or infinitely many prime ideals of the ...

Algebraic structures provide a comprehensive framework for understanding systems governed by operations such as addition and multiplication. In this context, noncommutative rings—where the order of ...

The field of algebraic geometry investigates the profound interplay between polynomial equations and geometric structures, providing a rich framework that unites abstract theory with practical ...