ON NOTHERIAN DIMENSION OF ARTINIAN MODULES WITH UNISERIAL DIMENSION

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Alehafttan A.; Shirali N.

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Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2016 | Issue:47

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Title

ON NOTHERIAN DIMENSION OF ARTINIAN MODULES WITH UNISERIAL DIMENSION

Author(s)

Alehafttan A. | Shirali N. | Issue Writer Certificate

Keywords

NOETHERIAN DIMENSION

UNISERIAL DIMENSION

ATOMIC MODULES

Abstract

IN THIS ARTICLE WE PRESENT A DIRECT PROOF OF THE FACT SHOW THAT EVERY ARTINIAN UNISERIAL (I.E., ITS SUBMODULES ARE LINEARLY ORDERED BY INDUCTION) MODULE OVER COMMUTATIVE OR RIGHT NOETHERIAN RINGS ARE 1-ATOMIC. CONSEQUENTLY, WE SHOW THAT IF R IS A COMMUTATIVE (OR, A RIGHT NOETHERIAN) RING, THEN THE NOETHERIAN DIMENSION OF AN ARTINIAN MODULE WITH THE UNISERIAL DIMENSION IS LESS THAN OR EQUAL TO 1. ...

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APA: Copy

Alehafttan, A., & Shirali, N.. (2016). ON NOTHERIAN DIMENSION OF ARTINIAN MODULES WITH UNISERIAL DIMENSION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/946310/en

Vancouver: Copy

Alehafttan A., Shirali N.. ON NOTHERIAN DIMENSION OF ARTINIAN MODULES WITH UNISERIAL DIMENSION. 2016. Available from: https://sid.ir/paper/946310/en

IEEE: Copy

A. Alehafttan, and N. Shirali, “ON NOTHERIAN DIMENSION OF ARTINIAN MODULES WITH UNISERIAL DIMENSION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2016, [Online]. Available: https://sid.ir/paper/946310/en

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