Invertible ideals and Gaussian semirings

Author:

Ghalandarzadeh Shaban,Nasehpour Peyman,Razavi Rafieh

Publisher

Masaryk University Press

Subject

General Mathematics

Reference26 articles.

1. Arnold, J.T., Gilmer, R.: On the content of polynomials. Proc. Amer. Math. Soc. 40 (1) (1970), 556–562. DOI 10.1090/S0002-9939-1970-0252360-3

2. Bazzoni, S., Glaz, S.: Gaussian properties of total rings of quotients. J. Algebra 310 (1) (2007), 180–193. DOI 10.1016/j.jalgebra.2007.01.004

3. Bourne, S.: The Jacobson radical of a semiring. Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 163–170. DOI 10.1073/pnas.37.3.163

4. Dale, L., Pitts, J.D.: Euclidean and Gaussian semirings. Kyungpook Math. J. 18 (1978), 17–22. MR 0491842

5. Dedekind, R.: Supplement XI to P.G. Lejeune Dirichlet: Vorlesung über Zahlentheorie 4 Aufl. ch. Über die Theorie der ganzen algebraiscen Zahlen, Druck und Verlag, Braunschweig, 1894. MR 0237283

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1. Divisibility Properties of the Semiring of Ideals of an Integral Domain;Algebra Colloquium;2020-08-27

2. Some remarks on semirings and their ideals;Asian-European Journal of Mathematics;2019-11-18

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4. On 2-absorbing ideals of commutative semirings;Journal of Algebra and Its Applications;2019-02-27

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