References
- F. Alarcon and D. D. Anderson, Commutative semirings and their lattices of ideals, Houston J. Math., 20 (1994), 571-590.
- M. F. Atiyah and I. G. MacDonald, Introduction to Commutative Algebra, Addison-Wesley, Reading, 1969.
- D.E. Dobbs, Going-down rings with zero-divisors, Houston J. Math., 23(1997), 1-12.
- D. E. Dobbs, On integrally closed going-down rings, Int. J. Math. Game Theory Algebra, 15(2006), 155-165.
- L. Fuchs, On primal ideals, Proc. Amer. Math. Soc., 1(1950), 1-6. https://doi.org/10.1090/S0002-9939-1950-0032584-8
- L. Fuchs, W. Heinzer, B. Olberding, Commutative ideal theory without finiteness conditions: primal ideals, Trans. Amer. Math. Soc., 357(2005), 2771-2798. https://doi.org/10.1090/S0002-9947-04-03583-4
- L. Fuchs and E. Mosteig, Ideal theory in Prufer domains-an unconventional approach, J. Algebra, 252(2002), 411-430. https://doi.org/10.1016/S0021-8693(02)00040-6
- J. Golan, Semirings and their Applications, Kluwer Academic Publishers, Dordrecht, 1999.
- U. Hebisch and H. J. Weinert, Semirings without zero divisors, Math. Pannon., 1(1990), 73-94.
- A. J. Hetzel, Quasi-going-up rings, Houston J. Math., 30(2004), 357-392.
- J. A. Huckaba, Commutative Rings with Zero Divisors, Dekker, New York, 1988.
- I. Kaplansky, Commutative Rings, rev. ed., Univ. Chicago Press, Chicago, 1974.
- S. S. Mitchell and P. Sinutoke, The theory of semifields, Kyungpook Math. J., 22(1982), 325-348.
- M. Nagata, Local Rings, Wiley-Interscience, NewYork, 1962.
Cited by
- Morita invariants of semirings related to a Morita context pp.1793-7183, 2019, https://doi.org/10.1142/S1793557119500232