Kategori Modul yang Dibangun oleh Uv

Fitriani Fitriani, Ahmad Faisol

Abstract


Misalkan U keluarga modul atas R dan V merupakan submodul dari jumlah langsung beberapa elemen di dalam keluarga U. Modul N  atas R  dibangun oleh Uv jika terdapat epimorfisma dari V ke N.  Modul yang dibangun oleh Uv merupakan perumuman dari modul yang dibangun oleh U. Perumuman ini dilakukan dengan menggunakan konsep barisan V-koeksak dari modul. Di dalam paper ini, dikonstruksi kategori  dari modul-modul yang dibangun oleh Uv beserta beberapa sifat-sifatnya. Selain itu, ditunjukkan bahwa kategori modul yang dibangun oleh Uv merupakan kategori pre-aditif.


Keywords


category pre-additive, U-generator, U_V-generator, V-coexact sequence

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References


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DOI: http://dx.doi.org/10.12962/limits.v17i1.6030

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Limits: Journal Mathematics and its Aplications by Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
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