DERIVATIONS IN HYPERRINGS AND PRIME HYPERRINGS

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ASOKKUMAR A.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2013 | Volume:8 | Issue:1 Page(s): 1-13

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Information Journal Paper

Title

DERIVATIONS IN HYPERRINGS AND PRIME HYPERRINGS

Author(s)

ASOKKUMAR A. | Issue Writer Certificate

Keywords

CANONICAL HYPERGROUP

HYPERRING

REDUCED HYPERRING

DERIVATION

DIFFERENTIAL HYPERRING

DIFFERENTIAL HYPERIDEAL

HDERIVATION

Abstract

In this paper we introduce DERIVATIONs in Krasner HYPERRINGs and derive some basic properties of DERIVATIONs. We also prove that for a strongly differential HYPERRINGR and for any strongly DIFFERENTIAL HYPERIDEAL Iof R, the factor HYPERRING R/I is a strongly differential HYPERRING.Further we prove that a map d: R ®R is a DERIVATION of a HYPERRING R if and only if the induced map jd is a homomorphism.

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APA: Copy

ASOKKUMAR, A.. (2013). DERIVATIONS IN HYPERRINGS AND PRIME HYPERRINGS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 8(1), 1-13. SID. https://sid.ir/paper/310347/en

Vancouver: Copy

ASOKKUMAR A.. DERIVATIONS IN HYPERRINGS AND PRIME HYPERRINGS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2013;8(1):1-13. Available from: https://sid.ir/paper/310347/en

IEEE: Copy

A. ASOKKUMAR, “DERIVATIONS IN HYPERRINGS AND PRIME HYPERRINGS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 8, no. 1, pp. 1–13, 2013, [Online]. Available: https://sid.ir/paper/310347/en

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