Group Semirings Using Distributive Lattices As Semirings
K. Jayshree, P. Gajivaradhan · Zenodo (CERN European Organization for Nuclear Research) · 2014
In this paper group semirings using distributive lattices as semirings is studied. The condition on the distributive lattices as well as on the groups are given for the group semiring to have zero ivisors, idempotents, S-zero divisors, S-anti zero divisors and S-idempotents. This is the first time such analysis has been carried out on these group semirings.