RADICAL AND ESSENTIAL CONGRUENCES ON THE CATEGORY OF S -ACT

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Sheykholislami S.M.N.; HADDADI M.

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Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2016 | Issue:25

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Title

RADICAL AND ESSENTIAL CONGRUENCES ON THE CATEGORY OF S -ACT

Author(s)

Sheykholislami S.M.N. | HADDADI M.

Keywords

HOEHNKE RADICAL

KUROSH-AMITSUR RADICAL

SEMISIMPLE CLASS

ESSENTIAL CONGRUENCE

Abstract

IN THIS PAPER, WE STUDY ON TORSION THEORY AND RADICALS IN THE CATEGORY OF S -ACT. WE INTRODUCE THE KUROSH-AMITSUR RADICALS AND THE HOEHNKE RADICALS. WE THEN INVESTIGATE THE RELATIONSHIP BETWEEN HOEHNKE RADICALS AND KUROSH-AMITSUR RADICALS AND WE SHOW THAT THE CLASS OF KUROSH-AMITSUR RADICALS AS A POSET IS A REFLECTIVE SUBCATEGORY OF THE CLASS OF HOEHNKE RADICALS. WE ALSO CHARACTERIZE THE HEREDITARY KUROSH-AMITSUR RADICALS BY THE SEMISIMPLE CLASSES WHICH ARE CLOSED UNDER TAKING INJECTIVE ENVELOP.

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Cite

APA: Copy

Sheykholislami, S.M.N., & HADDADI, M.. (2016). RADICAL AND ESSENTIAL CONGRUENCES ON THE CATEGORY OF S -ACT. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938754/en

Vancouver: Copy

Sheykholislami S.M.N., HADDADI M.. RADICAL AND ESSENTIAL CONGRUENCES ON THE CATEGORY OF S -ACT. 2016. Available from: https://sid.ir/paper/938754/en

IEEE: Copy

S.M.N. Sheykholislami, and M. HADDADI, “RADICAL AND ESSENTIAL CONGRUENCES ON THE CATEGORY OF S -ACT,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938754/en

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