International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 2, Pages 347-350
doi:10.1155/S0161171292000437
On k-ideals of semirings
M.K. Sen1
and M.R. Adhikari2
1Department of Pure Mathematics, Calcutta University, 35, Ballygunge Circular Road, Calcutta 700 019, India
2Department of Mathematics, University of Burdwan, Golapbag, Burdwan, West Bengal, India
Abstract
Certain types of ring congruences on an additive inverse semiring are characterized with the help of full k-ideals. It is also shown that the set of all full k-ideals of an additively inverse semiring in which addition is commutative forms a complete lattice which is also modular.