Proof of J is a Radical Class Using Amitsur Theorem

Raju Chowdhury; Dewan Ferdous Wahid; Md. Anowar Hossain

Proof of J is a Radical Class Using Amitsur Theorem

Raju Chowdhury * § B.Sc & M.Sc (Mathematics)M.Phil (Applied Mathematics)

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Dewan Ferdous Wahid

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Md. Anowar Hossain

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§ Stamford University Bangladesh.

Proof of J is a Radical Class Using Amitsur Theorem

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Abstract

The aim of this paper is to study radical class of rings, right quasi-regular rings and finally, to prove that J , the class of all right quasi-regular rings is a radical class. Amitsur gives a theorem of radical class for the sufficient condition that a class of rings would be a radical class. This paper represents, the proof of, J is a radical class using the theorem of radical class given by Amitsur.

References

16 Cites in Article

Reference Format

S Amitsur (1952). A General Theory of Radicals. I. Radicals in Complete Lattices.
S Amitsur (1954). A general theory of radicals ll.
S Tumurbat,R Wisbauer (2008). Radicals With The α-Amitsur Property.
Andrunakievic (1958). Radicals of associative rings 1.
Kishor Pawar &rajendra Deore (2011). A Note on Kurosh Amitsur Radical and Hoehnke Radical.
A Kurosh (1953). Radicals of rings and algebras.
Jakob Levitzki (1943). On the radical of a general ring.
N Divinsky,A Suliński (1965). Kurosh Radicals of Rings with Operators.
N Jacobson (1945). The radical and semi-simplicity for arbitrary rings.
J Wedderburn (1908). On hypercomplex numbers.
R Bear (1943). Radical ideals.
Bailey Brown,Neal Mccoy (1947). The radical of a ring.
N Jacobson (1945). The Radical and Semi-Simplicity for Arbitrary Rings.
Emil Artin,Cecil Nesbitt,Robert Thrall (1944). Rings with Minimum Condition.
Sulinski (1958). Certain questions in the general theory of radicals.
S Perlis (20). A characterization of the radical of algebra.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Raju Chowdhury, Dewan Ferdous Wahid, Md. Anowar Hossain. 2012. "Proof of J is a Radical Class Using Amitsur Theorem". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F12).

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GJSFR Volume 12 Issue F12

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Ideal Radical Class Right quasi-regular ring Ring

Classification

GJSFR-F Classification MSC 2010: 16D60

16N80

Submission ReceivedAugust 15, 2012
Peer Review Double Blind
Handling Editor
Accepted September 8, 2012
Published September 23, 2012

Version of record

v1.2

Issue date

October 9, 2012

Language

English

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Article Matrices

Total Score: 147

Country: Bangladesh

Subject: Global Journal of Science Frontier Research

Authors: Raju Chowdhury, Dewan Ferdous Wahid, Md. Anowar Hossain (PhD/Dr. count: 0)

View Count (all-time): 262

Total Views (Real + Logic): 1305

Total Downloads (simulated): 119

Publish Date: 2012 09, Sun

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Total Views: 1.3K

Total Downloads: 119

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