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Information Seminar Paper

Title

THE ANNIHILATOR GRAPH OF A MODULE

Pages

  -

Abstract

 LET R BE A COMMUTATIVE RING AND M BE AN R-MODULE, IF (FORMULA) AND (FORMULA). THE ANNIHILATOR GRAPH OF MODULE M OVER RING R IS THE GRAPH AG(RM) WITH VERTICES (FORMULA) AND TWO VERTICES X AND Y ARE ADJACENT IF AND ONLY IF ANN (IXIYM) ¹(FORMULA). IT FOLLOWS THAT IF M BE A FAITFUL R-MODULE, THEN EACH EDGE OF G (RM) IS AN EDGE OF AG (RM). WE SHOW THAT IF M BE A MULTIPLICATION MODULE THEN AG (RM) IS CONNECTED WITH DIAMETER AT MOST THREE AND WITH GIRTH AT MOST FOUR PROVIDED THAT AG (RM) HAS A CYCLE.

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  • Cite

    APA: Copy

    Hamidizadeh, K., & Aghababaei, Gh.. (2015). THE ANNIHILATOR GRAPH OF A MODULE. CONFERENCE ON COMPUTATIONAL GROUP THEORY, COMPUTATIONAL NUMBER THEORY AND APPLICATIONS. SID. https://sid.ir/paper/930462/en

    Vancouver: Copy

    Hamidizadeh K., Aghababaei Gh.. THE ANNIHILATOR GRAPH OF A MODULE. 2015. Available from: https://sid.ir/paper/930462/en

    IEEE: Copy

    K. Hamidizadeh, and Gh. Aghababaei, “THE ANNIHILATOR GRAPH OF A MODULE,” presented at the CONFERENCE ON COMPUTATIONAL GROUP THEORY, COMPUTATIONAL NUMBER THEORY AND APPLICATIONS. 2015, [Online]. Available: https://sid.ir/paper/930462/en

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