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All Journal Jurnal Matematika UNAND Jurnal Saintika Unpam : Jurnal Sains dan Matematika Unpam InPrime: Indonesian Journal Of Pure And Applied Mathematics Majalah Ilmiah Matematika dan Statistika (MIMS) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Jurnal Eurekamatika Journal of Fundamental Mathematics and Applications (JFMA) Prosiding Seminar Nasional Pengabdian Kepada Masyarakat JMT (Jurnal Matematika dan Terapan)
Mahatma, Yudi
Universitas Negeri Jakarta
Humanities Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Environmental Science Industrial & Manufacturing Engineering Mathematics Physics Public Health Other

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Journal : Jurnal Matematika UNAND

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THE FIRST U-EXTENSION MODULE AS CLASSES OF SHORT U-EXACT SEQUENCES Yudi Mahatma
Jurnal Matematika UNAND Vol 10, No 4 (2021)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmu.10.4.553-560.2021

Abstract

Inspired by the notions of the U-exact sequence introduced by Davvaz and Parnian-Garamaleky in 1999, and of the chain U-complex introduced by Davvaz and Shabani-Solt in 2002, Mahatma and Muchtadi-Alamsyah in 2017 developed the concept of the U-projective resolution and the U-extension module, which are the generalizations of the concept of the projective resolution and the concept of extension module, respectively. It is already known that every element of a first extension module can be identified as a short exact sequence. To the simple, there is a relation between the first extension module and the short exact sequence. It is proper to expect the relation to be provided in the U-version. In this paper, we aim to construct a one-one correspondence between the first U-extension module and the set consisting of equivalence classes of short U-exact sequence.Keywords: Chain U-complex, U-projective resolution, U-extension module
Co-Authors Agusfrianto, Fakhry Asad Agustine, Debby Ambarwati, Lukita Andita Sulistyaningrum Annisaa Prima Hayati Binastya Anggara Sekti Bintang Sirius Dea Febriliana Fajri Debby Agustine Debby Agustine Faisal Nur Cahya Fakhry Asad Agusfrianto Fitriani Fitriani Ibnu Hadi Ibnu Hadi Lorensya Lorensya Lukita Ambarwati Muhammad Eka Suryana Muhammad Julian Nadilla Okta Permitasari Pratiwi, Rifa Khairunnisa Sandrina Widya Andani Siti Rohmah Rohimah Sudarwanto, Sudarwanto Syarifah Ayu Angela Tiara Nabila Vera Maya Santi Widyanti Rahayu Wiraningsih, Eti Dwi Zainati, Dini