We introduce the concept of nilpotency of the right singular ideal of a semiring. We discuss some properties of such nilpotency and singular ideals. We show that the right singular ideal of a semiring with a.c.c. for right annihilators, is nilpotent.
@article{34308,
title = {On nilpotency of the right singular ideal of semiring},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {37},
year = {2017},
doi = {10.5269/bspm.v37i2.34308},
language = {EN},
url = {http://dml.mathdoc.fr/item/34308}
}
Goswami, Nabanita; Saikia, Helen K. On nilpotency of the right singular ideal of semiring. Boletim da Sociedade Paranaense de Matemática, Tome 37 (2017) . doi : 10.5269/bspm.v37i2.34308. http://gdmltest.u-ga.fr/item/34308/