Volume 34 • Number 1 • 2011   • Ideal Theory in the Ternary Semiring \(\mathbb{Z}^- _0\) S. Kar Abstract. 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. 2010 Mathematics Subject Classification: 16Y30, 16Y60. Full text: PDF