FIXED PLACE IDEAL

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ALIABAD A.R.; BADIEI M.

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

Seminar Paper

Paper Information

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

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Information Seminar Paper

Title

FIXED PLACE IDEAL

Author(s)

ALIABAD A.R. | BADIEI M.

Keywords

FIXED-PLACE

ANTI FIXED-PLACE

IRREDUNDANT

AFFLIATED PRIME

FIXED-PLACE RANK

ZARISKI TOPOLOGY

Abstract

LET&NBSP;I&NBSP;BE A SEMI-PRIME IDEAL. PO Î MIN (I) IS CALLED IRREDUNDANT WITH RESPECT TO I IF I, ¹&NBSP;∩&NBSP; PO¹PÎMIN(I) P.IFI IS THE INTERSECTION OF ALL IRREDUNDANT IDEALS WITH RESPECT TO I, IT IS CALLED A FIXED-PLACE IDEAL. IF THERE ARE NO IRREDUNDANT IDEALS WITH RESPECT TOI, IT IS CALLED AN ANTI FIXED-PLACE IDEAL. WE SHOW THAT EACH SEMI-PRIME IDEAL HAS A UNIQUE PRESENTATION AS AN INTERSECTION OF A FIXED-PLACE IDEAL AND AN ANTI FIXED-PLACE IDEAL. WE ALSO PROVE THAT ZERO IDEAL OF A REDUCED RINGR IS ANTI FIXED-PLACE IDEAL (FIXEDPLACE IDEAL) IF AND ONLY IF MIN (R) WITH ZARISKI TOPOLOGY HAS NO ISOLATED POINT (THE SET OF ALL ISOLATED POINTS OF MIN (R) WITH ZARISKI TOPOLOGY IS DENSE IN MIN (R)).

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APA: Copy

ALIABAD, A.R., & BADIEI, M.. (). . . SID. https://sid.ir/paper/938535/en

Vancouver: Copy

ALIABAD A.R., BADIEI M.. . . Available from: https://sid.ir/paper/938535/en

IEEE: Copy

A.R. ALIABAD, and M. BADIEI, “,” presented at the . , [Online]. Available: https://sid.ir/paper/938535/en

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