RIS ID
105864
Abstract
We introduce a new construction based on directed graphs. It provides a common generalization of the incidence rings and Munn semirings. Our main theorem describes all ideals of the largest possible weight in this construction. Several previous results can be obtained as corollaries to our new main theorem.
Grant Number
ARC/DP130101383
Publication Details
Kelarev, A. V., Susilo, W., Miller, M. & Ryan, J. (2016). Ideals of largest weight in constructions based on directed graphs. Bulletin of Mathematical Sciences and Applications, 15 8-16.