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Communications in Algebra Volume 41, 2013 - Issue 1
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Original Articles

Relationship between Rings and Hyperrings by Using the Notion of Fundamental Relations

S. Mirvakili Mathematics Department, Payame Noor University, Tehran, Iran
&
B. Davvaz Department of Mathematics, Yazd University, Yazd, IranCorrespondence[email protected]
Pages 70-82 | Received 13 Jun 2011, Published online: 04 Jan 2013

Citations (11)

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Read on this site (2)

N. Firouzkouhi & B. Davvaz. (2022) New fundamental relation and complete part of fuzzy hypermodules. Journal of Discrete Mathematical Sciences and Cryptography 25:5, pages 1225-1237.
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Ali Reza Moniri Hamzekolaee & Morteza Norouzi. (2018) A hyperstructural approach to essentiality. Communications in Algebra 46:11, pages 4954-4964.
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Articles from other publishers (9)

M. Shirvani, S. Mirvakili & B. Davvaz. (2021) Strongly transitive geometric spaces on hypergroups from strongly U-regular relations. Journal of Algebra and Its Applications 21:05.
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N. Firouzkouhi & B. Davvaz. (2021) Γ∗-Relation on Fuzzy Hyperrings and Fundamental Ring. New Mathematics and Natural Computation 17:03, pages 691-701.
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S. Mirvakili, P. Ghiasvand & Bijan Davvaz. (2021) Finitely generated rings obtained from hyperrings through the fundamental relations. Boletim da Sociedade Paranaense de Matemática 39:1, pages 51-69.
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Jian Tang & Bijan Davvaz. (2020) Study on Green’s relations in ordered semihypergroups. Soft Computing 24:15, pages 11189-11197.
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B. Davvaz & N. Firouzkouhi. (2019) Fundamental relation on fuzzy hypermodules. Soft Computing 23:24, pages 13025-13033.
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M. Al Tahan & B. Davvaz. (2018) Strongly regular relations of arithmetic functions. Journal of Number Theory 187, pages 391-402.
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S. Mirvakili, S. M. Anvariyeh & B. Davvaz. (2017) Rings derived from strongly $$\mathcal {U}$$ U -regular relations. Boletín de la Sociedad Matemática Mexicana 24:1, pages 107-121.
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S. Kar & S. Purkait. (2016) On k-Regularities in Fuzzy Semihyperrings. International Journal of Applied and Computational Mathematics 3:2, pages 1121-1141.
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M. Al Tahan & B. Davvaz. (2017) On the existence of hyperrings associated to arithmetic functions. Journal of Number Theory 174, pages 136-149.
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