A Note on the Primary Decomposition of k-Ideals in Semirings
We establish the primary decomposition and uniqueness of primary decomposition for k-ideals in commutative Noetherian semirings.
arXiv subjects
Publications and source records attributed to Ram Parkash Sharma.
We establish the primary decomposition and uniqueness of primary decomposition for k-ideals in commutative Noetherian semirings.
A generalization of G-sets, called partial G-sets, are the sets that admit an action of partial maps on their subsets. Partial actions are a powerful tool to generalize many results of group actions. These generalizations are obtained by using global actions when they exist. The main objective of this paper is to construct the global action of a given finite partial group action on a set. For this, first we generalize orbit-stabilizer theorem for partial group actions and use it to know the exact size of the orbits in the global set.
A class of subgroups is obtained for symmetric groups using signed Brauer diagrams.