PRINCIPALLY WEAKLY AND WEAKLY COHERENT MONOIDS

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SEDAGHATJOU M.; KHOSRAVI R.; ERSHAD M.

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

Seminar Paper

Paper Information

Seminar: IRANIAN ALGEBRA SEMINAR
Year:2009 | Issue:20

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Title

PRINCIPALLY WEAKLY AND WEAKLY COHERENT MONOIDS

Author(s)

SEDAGHATJOU M. | KHOSRAVI R. | ERSHAD M.

Keywords

PRINCIPALLY WEAKLY FLAT

WEAKLY FLAT

DIRECT PRODUCT

PSF MONOID

Abstract

WE SHALL CALL A MONOID S PRINCIPALLY WEAKLY (WEAKLY) LEFT COHERENT IF DIRECT PRODUCTS OF NON-EMPTY FAMILIES OF PRINCIPALLY WEAKLY (WEAKLY) FLAT RIGHT S-ACTS ARE PRINCIPALLY WEAKLY (WEAKLY) FLAT. SUCH MONOIDS HAVE NOT BEEN STUDIED IN GENERAL. HOWEVER, BULMAN FLEMING AND MCDOWELL PROVED THAT A COMMUTATIVE MONOID S IS (WEAKLY) COHERENT IF AND ONLY IF THE ACT SI IS WEAKLY FLAT FOR EACH NON-EMPTY SET I. IN THIS PAPER WE INTRODUCE THE NOTION OF FINITE (PRINCIPAL) WEAK FLATNESS FOR CHARACTERIZING (PRINCIPALLY) WEAKLY LEFT COHERENT MONOIDS. ALSO WE INVESTIGATE MONOIDS OVER WHICH DIRECT PRODUCTS OF ACTS TRANSFER AN ARBITRARY FLATNESS PROPERTY TO THEIR COMPONENTS.

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APA: Copy

SEDAGHATJOU, M., KHOSRAVI, R., & ERSHAD, M.. (2009). PRINCIPALLY WEAKLY AND WEAKLY COHERENT MONOIDS. IRANIAN ALGEBRA SEMINAR. SID. https://sid.ir/paper/904460/en

Vancouver: Copy

SEDAGHATJOU M., KHOSRAVI R., ERSHAD M.. PRINCIPALLY WEAKLY AND WEAKLY COHERENT MONOIDS. 2009. Available from: https://sid.ir/paper/904460/en

IEEE: Copy

M. SEDAGHATJOU, R. KHOSRAVI, and M. ERSHAD, “PRINCIPALLY WEAKLY AND WEAKLY COHERENT MONOIDS,” presented at the IRANIAN ALGEBRA SEMINAR. 2009, [Online]. Available: https://sid.ir/paper/904460/en

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