PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING MENGGUNAKAN QM.SUBSEMIMODUL LEMAH
Semimodules over semirings is a generalization of modules over rings. Any submodule N of R�moduleM can be used to construct a factor moduleM N over ring R, but this construction can not be applied in semimodules over semirings. Therefore, Ebrahimi Atani (2010) has defined QM�subsemimodule and...
| Main Authors: | , |
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2013
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| _version_ | 1797033418526031872 |
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| author | , ARI DWI HARTANTO , Prof. Dr. Sri Wahyuni., MS. |
| author_facet | , ARI DWI HARTANTO , Prof. Dr. Sri Wahyuni., MS. |
| author_sort | , ARI DWI HARTANTO |
| collection | UGM |
| description | Semimodules over semirings is a generalization of modules over rings. Any
submodule N of R�moduleM can be used to construct a factor moduleM
N over
ring R, but this construction can not be applied in semimodules over semirings.
Therefore, Ebrahimi Atani (2010) has defined QM�subsemimodule and used it to
construct semimodules over semirings. In this thesis, we weaken the definition of
QM�subsemimodule to QM�weakly subsemimodule and we use it to construct a
weakly factor semimodule. Moreover, we investigate its properties and the fundamental
theorem of semimodules homomorphism |
| first_indexed | 2024-03-13T22:53:37Z |
| format | Thesis |
| id | oai:generic.eprints.org:120694 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T22:53:37Z |
| publishDate | 2013 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:1206942016-03-04T08:23:53Z https://repository.ugm.ac.id/120694/ PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING MENGGUNAKAN QM.SUBSEMIMODUL LEMAH , ARI DWI HARTANTO , Prof. Dr. Sri Wahyuni., MS. ETD Semimodules over semirings is a generalization of modules over rings. Any submodule N of R�moduleM can be used to construct a factor moduleM N over ring R, but this construction can not be applied in semimodules over semirings. Therefore, Ebrahimi Atani (2010) has defined QM�subsemimodule and used it to construct semimodules over semirings. In this thesis, we weaken the definition of QM�subsemimodule to QM�weakly subsemimodule and we use it to construct a weakly factor semimodule. Moreover, we investigate its properties and the fundamental theorem of semimodules homomorphism [Yogyakarta] : Universitas Gadjah Mada 2013 Thesis NonPeerReviewed , ARI DWI HARTANTO and , Prof. Dr. Sri Wahyuni., MS. (2013) PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING MENGGUNAKAN QM.SUBSEMIMODUL LEMAH. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=60732 |
| spellingShingle | ETD , ARI DWI HARTANTO , Prof. Dr. Sri Wahyuni., MS. PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING MENGGUNAKAN QM.SUBSEMIMODUL LEMAH |
| title | PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING
MENGGUNAKAN QM.SUBSEMIMODUL LEMAH |
| title_full | PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING
MENGGUNAKAN QM.SUBSEMIMODUL LEMAH |
| title_fullStr | PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING
MENGGUNAKAN QM.SUBSEMIMODUL LEMAH |
| title_full_unstemmed | PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING
MENGGUNAKAN QM.SUBSEMIMODUL LEMAH |
| title_short | PEMBENTUKAN SEMIMODUL FAKTOR LEMAH ATAS SEMIRING
MENGGUNAKAN QM.SUBSEMIMODUL LEMAH |
| title_sort | pembentukan semimodul faktor lemah atas semiring menggunakan qm subsemimodul lemah |
| topic | ETD |
| work_keys_str_mv | AT aridwihartanto pembentukansemimodulfaktorlemahatassemiringmenggunakanqmsubsemimodullemah AT profdrsriwahyunims pembentukansemimodulfaktorlemahatassemiringmenggunakanqmsubsemimodullemah |