ON PRERADICALS AND CLOSURE OPERATORS IN S -ACT

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HADDADI M.

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Seminar Paper

Paper Information

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

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Title

ON PRERADICALS AND CLOSURE OPERATORS IN S -ACT

Author(s)

HADDADI M.

Keywords

RADICAL

S -ACT

CLOSURE OPERATOR

Abstract

THE PRESENT PAPER RESTS ON THE CORRESPONDENCE BETWEEN IDEMPOTENT CLOSURE OPERATORS AND THE GENERALIZED NOTION OF RADICALS IN THE CATEGORY OFS -ACTS, S-ACT. THIS CORRESPONDENCE IN THE SEMI-ABELIAN CATEGORIES IS ESTABLISHED AS WELL AS IN THE CATEGORY OFR-MODULES. IN FACT, THE PRESENCE OF A ZERO OBJECT IN A SEMI-ABELIN CATEGORY PROVIDES THE TOOLS NECESSARY FOR PURSUING THE SAME CORRESPONDENCEBETWEEN CLOSURE OPERATORS AND RADICALS. BUT, HERE WE CONSTRUCT THE SAME CORRESPONDENCE IN THE NONSEMI-ABELIAN CATEGORYS-ACT.

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Cite

APA: Copy

HADDADI, M.. (2016). ON PRERADICALS AND CLOSURE OPERATORS IN S -ACT. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/938555/en

Vancouver: Copy

HADDADI M.. ON PRERADICALS AND CLOSURE OPERATORS IN S -ACT. 2016. Available from: https://sid.ir/paper/938555/en

IEEE: Copy

M. HADDADI, “ON PRERADICALS AND CLOSURE OPERATORS IN S -ACT,” presented at the IRANIAN ALGEBRA SEMINAR. 2016, [Online]. Available: https://sid.ir/paper/938555/en

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