Ideal Theory in the Ternary Semiring $\mathbb{Z}^- _0$
Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1
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In this paper, we study the ideal theory in the ternary semiring $\mathbb{Z}^-_0$ of non-positive integers and obtain some results regarding the ideals of the ternary semiring $\mathbb{Z}^-_0$. Finally we show that $\mathbb{Z}^-_0$ is a Noetherian ternary semiring and also almost principal ideal ternary semiring.
Classification :
16Y30, 16Y60.
@article{BMMS_2011_34_1_a5,
author = {S. Kar},
title = {Ideal {Theory} in the {Ternary} {Semiring} {\(\mathbb{Z}^-} _0\)},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2011},
volume = {34},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a5/}
}
S. Kar. Ideal Theory in the Ternary Semiring \(\mathbb{Z}^- _0\). Bulletin of the Malaysian Mathematical Society, Tome 34 (2011) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2011_34_1_a5/