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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi COMSERVA: Jurnal Penelitian dan Pengabdian Masyarakat
Corina Karim, Ari Andari
Universitas Brawijaya
Humanities Economics, Econometrics & Finance Education Industrial & Manufacturing Engineering Mathematics Social Sciences

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Splitting Field dan Ketunggalannya Atas Polinomial Field Ari Andari, Corina Karim,
CAUCHY Vol 1, No 4 (2011): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (144.046 KB) | DOI: 10.18860/ca.v1i4.1801

Abstract

Suatu field E disebut extension field F, jika ⊂ di mana F merupakan field. Dengan kata lain E disebut extension field F, jika F subfield dari field E. Sedangkan Splitting field merupakan generalisasi dari extension field yang memenuhi beberapa aksioma. Field yang digunakan pada splitting field adalah field finite extension, dimana field finite extension adalah extension field yang mempunyai basis berhingga n.
A Note on Generalized Strongly p-Convex Functions of Higher Order Corina Karim; Ekadion Maulana
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 2 (2022): CAUCHY: Jurnal Matematika Murni dan Aplikasi
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i2.12938

Abstract

Generalized strongly -convex functions of higher order is a new concept of convex functions which introduced by Saleem et al. in 2020. The Schur type inequality for generalized strongly -convex functions of higher order also studied by them. This paper aims to revise Schur type inequality for generalized strongly -convex functions of higher order in their paper. In order to revise it, we show that the contradiction was true. This paper showed that  Schur type inequality for generalized strongly -convex functions of higher order previously is not valid and we give the correct Schur type inequality for generalized strongly -convex functions of higher order
Pelatihan Pembelajaran Matematika Menggunakan Perangkat Lunak Matematika bagi Guru–Guru Matematika SMA/MA di Kabupaten Pasuruan Syaiful Anam; Agus Widodo; Indah Yanti; Corina Karim; Fery Widhiatmoko; Mochamad Hakim Akbar Assidiq Maulana
COMSERVA : Jurnal Penelitian dan Pengabdian Masyarakat Vol. 2 No. 7 (2022): COMSERVA : Jurnal Penelitian dan Pengabdian Masyarakat
Publisher : Publikasi Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59141/comserva.v2i7.422

Abstract

Pasuruan Regency has natural resources that have the potential to be developed, especially in the fields of agriculture, plantations and tourism. In an effort to improve the quality of human resources, improving the level of education is an important thing to do. One way to increase the number of people's participation in education is to improve the quality of learning so that people are interested in taking higher education levels. Learning media with mathematics software is expected to be able to visualize abstract mathematical objects so that it can improve students' understanding and encourage student learning motivation. GeoGebra is a mathematical software to visualize abstract mathematical objects quickly and accurately and can be used as a tool to construct mathematical concepts. One of the objectives of this activity is to improve the ability and skills of mathematics teachers in SMA/MA in Pasuruan Regency in developing mathematics learning media with GeoGebra software to visualize abstract mathematical objects (geometry objects). In addition, to improve the ability and skills of mathematics teachers in SMA/MA in Pasuruan Regency in explaining mathematical material containing geometric objects by utilizing Geogebra. The results of the training showed that the ability and skills of SMA/MA teachers in Pasuruan Regency increased significantly in the development of teaching media and in explaining geometric objects by using Geogebra.
η-Intuitionistic Fuzzy Soft Groups Mustika Ana Kurfia; Noor Hidayat; Corina Karim
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 3 (2022): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i3.14555

Abstract

In this research, we present the idea of the intuitionistic fuzzy soft group defined on the intuitionistic fuzzy soft set. The main purpose of this research is to create a new concept, which is an intuitionistic fuzzy group. To achieve this, we combine the concept of intuitionistic fuzzy group and intuitionistic fuzzy soft group. As the main result, we prove the correlation between the intuitionistic fuzzy soft group and intuitionistic fuzzy soft group along with some properties of intuitionistic fuzzy soft groups. Also, we prove some properties of a subgroup of an intuitionistic fuzzy soft group. An intuitionistic fuzzy soft homomorphism is also proved.
Correspondence Between Torsion and Annihilator Graph of Modules Zn Over Commutative Rings Andari, Ari; Mahanani, Dwi Mifta; Purnamaadi, Dedy Zulkharnain
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 1 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i1.30002

Abstract

Let M be a module over a commutative ring. Torsion graph of module M is a simple undirected graph where the vertices are nonzero torsion elements of M and two different vertices x and y is adjacent if intersection of Ann(x) and Ann(y) is not zero. Meanwhile, the annihilator graph of the module M is a simple undirected graph where the vertex set is Z_R(M)\Ann_R(M) and two different vertices x and y is adjacent if union of Ann_M(x) and Ann_M(y) is not equal with Ann_M(xy). In this paper, we focus on the discussion of torsion graph and annihilator graph for integer modulo n module Zn. Moreover, we obtain some relation between them based on the prime factorization of n.
Co-Authors Agus Widodo Anam, Syaiful Dwi Mifta Mahanani, Dwi Mifta Ekadion Maulana Fery Widhiatmoko Hidayat, Noor Indah Yanti Mochamad Hakim Akbar Assidiq Maulana Mustika Ana Kurfia Purnamaadi, Dedy Zulkharnain