{
      "department": "FAKULTAS SAINS DAN TEKNOLOGI",
      "subjects": [
        560
      ],
      "eprintid": 78383,
      "thesis_type": "skripsi",
      "date": "2026-05-13",
      "userid": 12460,
      "documents": [
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            "language": "id",
            "placement": 1,
            "eprintid": 78383,
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                  "filename": "22106010016_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf"
                }
            ],
            "content": "published",
            "rev_number": 3,
            "uri": "http:\/\/digilib.uin-suka.ac.id\/id\/document\/1075552",
            "main": "22106010016_BAB-I_IV-atau-V_DAFTAR-PUSTAKA.pdf",
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            "docid": 1075552,
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            "security": "public",
            "pos": 1,
            "formatdesc": "BEBERAPA SIFAT MODUL TEREDUKSI DAN REPRESENTASI GRAF ANNIHILATOR"
          },
          {
            "language": "id",
            "placement": 2,
            "eprintid": 78383,
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                  "filename": "22106010016_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf"
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            ],
            "content": "published",
            "rev_number": 3,
            "uri": "http:\/\/digilib.uin-suka.ac.id\/id\/document\/1075553",
            "main": "22106010016_BAB-II_sampai_SEBELUM-BAB-TERAKHIR.pdf",
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            "formatdesc": "BEBERAPA SIFAT MODUL TEREDUKSI DAN REPRESENTASI GRAF ANNIHILATOR"
          }
      ],
      "rev_number": 10,
      "creators": [
        {
          "name": {
            "lineage": null,
            "given": "NIM.: 22106010016",
            "honourific": null,
            "family": "Nisrina Rahadatul ‘Aisy"
          }
        }
      ],
      "dir": "disk0\/00\/07\/83\/83",
      "keywords": "Annihilator, Elemen Torsi, Modul Tereduksi, Residual, Graf Annihilator",
      "lastmod": "2026-09-23 01:34:23",
      "ispublished": "pub",
      "metadata_visibility": "show",
      "date_type": "published",
      "eprint_status": "archive",
      "status_changed": "2026-09-23 01:34:23",
      "datestamp": "2026-09-23 01:34:23",
      "uri": "http:\/\/digilib.uin-suka.ac.id\/id\/eprint\/78383",
      "thesis_name": "other",
      "note": "Prof. Dr. Dra. Hj. Khurul Wardati, M.Si.",
      "full_text_status": "restricted",
      "contact_email": "muh.khabib@uin-suka.ac.id",
      "divisions": [
        "jur_mat"
      ],
      "abstract": "Let MR be a module over a ring R with a unit. A module MR is defined as\r\na reduced module if and only if, for every m 2 MR and a 2 R such that ma = 0,\r\nthe intersection of the sets mR and MRa is singleton zero. A reduced module MR\r\nis a generalization of a reduced ring. A reduced module can be represented in the\r\nform of a graph called the annihilator graph. The set of vertices of the annihilator\r\ngraph consists of the non-zero torsion elements of MR, where the connectivity of\r\nthe vertices is determined by the annihilator and the residuals on the reduced module.\r\nThis research not only discusses the definition of reduced modules and their\r\nrepresentation in the annihilator graph but also the properties that arise in both. The\r\nannihilator graph of a reduced module is an undirected graph. Several examples\r\nof annihilator graphs of reduced modules are given, including incomplete graphs,\r\ncomplete graphs, and zero graphs (graphs consisting only of vertices with no connecting\r\nedges). An annihilator graph representation containing a cycle has a girth\r\nof only 3 or 4.",
      "type": "thesis",
      "title": "BEBERAPA SIFAT MODUL TEREDUKSI DAN REPRESENTASI GRAF ANNIHILATOR",
      "institution": "UIN SUNAN KALIJAGA YOGYAKARTA",
      "pages": 91
    }