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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Parameter: Jurnal Matematika, Statistika dan Terapannya
Dorteus L. Rahakbauw
Universitas Pattimura
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Some NECESSARY AND SUFFICIENT CONDITIONS OF COMULTIPLICATION MODULE Emanuella M C Wattimena; Henry W.M. Patty; Dyana Patty; Dorteus L. Rahakbauw
PARAMETER: Jurnal Matematika, Statistika dan Terapannya Vol 1 No 2 (2022): PARAMETER: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv1i2pp97-102

Abstract

In ring theory, if and be ideals of , then the multiplication of and , which is defined by is also ideal of . Motivated by the multiplication of two ideals, then can be defined a multiplication module, a special module which every submodule of can be expressed as the multiplication of an ideal of ring and the module itself, and can simply be written as . Furthermore, if the module become a comultiplication module. By the definition, it concludes that every comultiplication module is a multiplication module but the converse is not necessarily applicable. Keywords: annihilator, ideal, module, comultiplication module, multiplication module, ring, submodule.
PENYELESAIAN SISTEM PEMBENTUKAN SEL PADA HYDRA MENGGUNAKAN METODE BEDA HINGGA SKEMA EKSPLISIT Y. Sambono; Zeth Arthur Leleury; Berny Pebo Tomasouw; Dorteus L. Rahakbauw
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (859.505 KB) | DOI: 10.30598/barekengvol14iss4pp481-490

Abstract

Mathematical models that describes the pattern of cell formation in hydra are expressed in a system of equations known as the Meinhardt model. This model is a continuous model in the form of diffusion equations. Thus, one of the studies which can be applied to Meinhardt equation is discretization. The finite difference model is a numerical method that can describe the discrete form of a continuous differential form. The method used in this study is finite different methods implementing explicit scheme. The advantage of the explicit scheme is easier to use for solving non-linear partial differential equations. This method used finite forward difference for derivatives of 𝑡 and finite centre difference for derivatives of 𝑥 at theactivator 𝑎(𝑥, 𝑡) and inhibitor 𝑏(𝑥, 𝑡). The Steps conducted by analyzing Meinhardt equation andcontinued with discretization such that earn the solution of system cell formation in hydra. According to the research its found that the activator cell population graphic have cell growth disposed ascend by the unit time, be different with the inhibitor cell population disposed descend of cell growth by the unit time.
Co-Authors Berny Pebo Tomasouw Emanuella M C Wattimena Henry W. M. Patty Patty, Dyana Y. Sambono Zeth Arthur Leleury, Zeth Arthur