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Original scientific paper
https://doi.org/10.3336/gm.43.1.03

On primal and weakly primal ideals over commutative semirings

Shahabaddin Ebrahimi Atani ; Department of Mathematics, University of Guilan

Fulltext: english, pdf (131 KB) pages 13-23 downloads: 451* cite
APA 6th Edition
Ebrahimi Atani, S. (2008). On primal and weakly primal ideals over commutative semirings. Glasnik matematički, 43 (1), 13-23. https://doi.org/10.3336/gm.43.1.03
MLA 8th Edition
Ebrahimi Atani, Shahabaddin. "On primal and weakly primal ideals over commutative semirings." Glasnik matematički, vol. 43, no. 1, 2008, pp. 13-23. https://doi.org/10.3336/gm.43.1.03. Accessed 28 May 2020.
Chicago 17th Edition
Ebrahimi Atani, Shahabaddin. "On primal and weakly primal ideals over commutative semirings." Glasnik matematički 43, no. 1 (2008): 13-23. https://doi.org/10.3336/gm.43.1.03
Harvard
Ebrahimi Atani, S. (2008). 'On primal and weakly primal ideals over commutative semirings', Glasnik matematički, 43(1), pp. 13-23. https://doi.org/10.3336/gm.43.1.03
Vancouver
Ebrahimi Atani S. On primal and weakly primal ideals over commutative semirings. Glasnik matematički [Internet]. 2008 [cited 2020 May 28];43(1):13-23. https://doi.org/10.3336/gm.43.1.03
IEEE
S. Ebrahimi Atani, "On primal and weakly primal ideals over commutative semirings", Glasnik matematički, vol.43, no. 1, pp. 13-23, 2008. [Online]. https://doi.org/10.3336/gm.43.1.03

Abstracts
Since the theory of ideals plays an important role in the theory of semirings, in this paper we will make an intensive study of the notions of primal and weakly primal ideals in commutative semirings with an identity 1. It is shown that these notions inherit most of the essential properties of the primal and weakly primal ideals of a commutative ring with non-zero identity. Also, the relationship among the families of weakly prime ideals, primal ideals and weakly primal ideals of a semiring R is considered.

Keywords
Semiring; weakly prime, primal: weakly primal

Hrčak ID: 23530

URI
https://hrcak.srce.hr/23530

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