THE DIEUDONNE DETERMINANT AND VALUATION ON MATRICES AND CUBIC MATRICES OVER SKEW FIELD

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HOSSEINI M.H.; Kakaabdollah S.

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

Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2012 | Issue:43

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Title

THE DIEUDONNE DETERMINANT AND VALUATION ON MATRICES AND CUBIC MATRICES OVER SKEW FIELD

Author(s)

HOSSEINI M.H. | Kakaabdollah S. | Issue Writer Certificate

Keywords

MATRIX VALUATION

CUBIC MATRIX VALUATION

DIEUDONNE DETERMINANT

Abstract

LET R BE A COMMUTATIVE RING. WE DENOTE BY MN(3) (K) THE SET OF ALL CUBIC MATRICES. IF U IS A VALUATION ON R, THEN FUNCTION (FORMOLA) IS CUBIC MATRIX VALUATION ON R. IN THIS ARTICLE WE SHOW HOW IT CAN BE HOLD IN THE CASE OF SKEW FIELD K, WHERE DET (A) IS A DIEUDONNE DETERMINANT. IN FACT WE PROVE THAT IF K BE A SKEW FIELD AND DET (A) BE A DIEUDONNE DETERMINANT OF A, THEN FUNCTION (FORMOLA) WILL BE A CUBIC MATRIX VALUATION ON SKEW FIELD K, WHERE [K*, K*] IS THE COMMUTATOR OF SKEW FIELD K AND U IS A HOMOMORPHISM

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APA: Copy

HOSSEINI, M.H., & Kakaabdollah, S.. (2012). THE DIEUDONNE DETERMINANT AND VALUATION ON MATRICES AND CUBIC MATRICES OVER SKEW FIELD. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/924744/en

Vancouver: Copy

HOSSEINI M.H., Kakaabdollah S.. THE DIEUDONNE DETERMINANT AND VALUATION ON MATRICES AND CUBIC MATRICES OVER SKEW FIELD. 2012. Available from: https://sid.ir/paper/924744/en

IEEE: Copy

M.H. HOSSEINI, and S. Kakaabdollah, “THE DIEUDONNE DETERMINANT AND VALUATION ON MATRICES AND CUBIC MATRICES OVER SKEW FIELD,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2012, [Online]. Available: https://sid.ir/paper/924744/en

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