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All Journal Jurnal Matematika MATEMATIKA Jurnal Ilmu Dasar Journal of the Indonesian Mathematical Society Jurnal Matematika & Sains Journal of Mathematics and Mathematics Education Jurnal Fourier Science and Technology Indonesia BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jurnal Kajian Matematika dan Aplikasinya Journal of Fundamental Mathematics and Applications (JFMA) Jurnal Matematika Integratif
Indah Emilia Wijayanti
Department Of Mathematics, Universitas Gadjah Mada
Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Materials Science & Nanotechnology Mathematics Mechanical Engineering Physics Transportation

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MODUL τ[M]-INJEKTIVE Suprapto, Suprapto; Wahyuni, Sri; Wijayanti, Indah Emilia; Irawati, Irawati
Journal of Mathematics and Mathematics Education Vol 1, No 2 (2011): Journal of Mathematics and Mathematics Education
Publisher : Journal of Mathematics and Mathematics Education

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (634.893 KB)

Abstract

Abstract Let  R be a ring with unit and let  N be a left R-module. Then N is said linearly independent to  R (or N is R-linearly independent) if there is monomorphisma  By the definition of R-linearly independent, we may be able to generalize linearly independent relative to the R-module M. Module N is said M-linearly independent if there is monomorphisma .The module Q is said M-sublinearly independent if Q is a factor module of modules which is  M-linearly independent. The set of modules M-sublinearly independent denoted by  Can be shown easily that  is a subcategory of the category R-Mod. Also it can be shown that the submodules, factor modules and external direct sum of modules in  is also in the .The module Q is called P-injective if for any morphisma Q defined on L submodules of P can be extended to morphisma Q with , where  is the natural inclusion mapping. The module Q is called -injective if Q is P-injective, for all modules P in .In this paper, we studiet the properties and characterization of -injective. Trait among others that the direct summand of a module that is -injective also -injective. A module is -injective if and only if the direct product of these modules also are -injective. Key words : Q ()-projective, P ()-injective.
PRIMENESS IN CATEGORY OF MODULES AND CATEGORY OF COMODULES OVER CORINGS Wijayanti, Indah Emilia
Journal of the Indonesian Mathematical Society Volume 14 Number 1 (April 2008)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.14.1.58.13-24

Abstract

We recall the notion of prie modules and use the analogue technique to define prime comodules and corings. Moreover, the related properties are of interest. We investigate the relation of primeness of C-comodule M and the dual algebra *C of a coring C, the relation to projectivity of a coring in the associated category, the implication of the primeness to the injective hull and product of prime coalgebras. DOI : http://dx.doi.org/10.22342/jims.14.1.58.13-24
ON FREE IDEALS IN FREE ALGEBRAS OVER A COMMUTATIVE RING Wardati, Khurul; Wijayanti, Indah Emilia; Wahyuni, Sri
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.170.59-69

Abstract

Let A be a free R-algebra where R is a unital commutative ring. An ideal I in A is called a free ideal if it is a free R-submodule with the basis contained in the basis of A. The denition of free ideal and basic ideal in the free R-algebra are equivalent. The free ideal notion plays an important role in the proof of some special properties of a basic ideal that can characterize the free R-algebra. For example, a free R-algebra A is basically semisimple if and only if it is a direct sum of minimal basic ideals in A: In this work, we study the properties of basically semisimple free R-algebras.DOI : http://dx.doi.org/10.22342/jims.21.1.170.59-69
ON JOINTLY PRIME RADICALS OF (R,S)-MODULES Yuwaningsih, Dian Ariesta; Wijayanti, Indah Emilia
Journal of the Indonesian Mathematical Society Volume 21 Number 1 (April 2015)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.21.1.199.25-34

Abstract

Let $M$ be an $(R,S)$-module. In this paper a generalization of the m-system set of modules to $(R,S)$-modules is given. Then for an $(R,S)$-submodule $N$ of $M$, we define $\sqrt[(R,S)]{N}$ as the set of $a\in M$ such that every m-system containing $a$ meets $N$. It is shown that $\sqrt[(R,S)]{N}$ is the intersection of all jointly prime $(R,S)$-submodules of $M$ containing $N$. We define jointly prime radicals of an $(R,S)$-module $M$ as $rad_{(R,S)}(M)=\sqrt[(R,S)]{0}$. Then we present some properties of jointly prime radicals of an $(R,S)$-module.DOI : http://dx.doi.org/10.22342/jims.21.1.199.25-34
ON FREE PRODUCT OF N-COGROUPS Wijayanti, Indah Emilia
Journal of the Indonesian Mathematical Society Volume 18 Number 2 (October 2012)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.18.2.116.101-111

Abstract

looked at pdf abstractDOI : http://dx.doi.org/10.22342/jims.18.2.116.101-111
Pembentukan Ring Bersih Menggunakan Lokalisasi Ore Isnaini, Uha; Wijayanti, Indah Emilia
Jurnal Matematika dan Sains Vol 19 No 1 (2014)
Publisher : Institut Teknologi Bandung

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Abstract

Misalkan diberikan sebarang ring R (tidak harus komutatif) dan himpunan multiplikatif S Í R yang tidak memuat elemen nol. Lokalisasi Ore merupakan salah satu teknik pembentukan ring sehingga setiap elemen S memiliki invers di ring yang baru. Ring hasil lokalisasi tidak selalu mempertahankan sifat ring awal. Suatu ring sebarang dapat disisipkan ke  ring bersih, ring bersih-n dan ring peralihan. Pada paper ini akan dikaji sifat-sifat yang diperlukan untuk menyisipkan sebarang ring ke ring tersebut menggunakan lokalisasi. Kata kunci : Lokalisasi Ore, Elemen Satuan, Ring Bersih, Ring Peralihan, Ring Bersih-n.   Construction of Clean Ring using Ore Localization Abstract Let R be any ring (can be non commutative) and S Í R is a multiplicative set that does not contain any zero element. Ore localization is a powerful technique to construct a universal S-inverting ring. However the localization results do not always inherit properties of the first ring. An arbitrary ring can be inserted into the clean ring, n-clean ring, and exchange ring. Here, we show properties needed to insert any ring to the ring using localization. Keywords: Ore Localization, Unity, Clean Ring, Exchange Ring, n-Clean Ring.
On Fully Prime Radicals Wijayanti, Indah Emilia; Yuwaningsih, Dian Ariesta
Journal of the Indonesian Mathematical Society Volume 23 Number 2 (October 2017)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.23.2.302.33-45

Abstract

In this paper we give a further study on fully prime submodules. For any fully prime submodules we define a product called $\am$-product. The further investigation of fully prime submodules in this work, i.e. the fully m-system and fully prime radicals, is related to this product. We show that the fully prime radical of any submodules can be characterize by the fully m-system. As a special case, the fully prime radical of a module $M$ is the intersection of all minimal fully prime submodules of $M$.
OBYEK GRUP DAN OBYEK KOGRUP DARI SEBUAH KATEGORI Puspita, Nikken Prima; Wijayanti, Indah Emilia; Susanti, Yeni
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. A category contained a classes of objects and morphism between  two object. For any chategory with initial object, terminal object, product and coproduct can defined a special object i.e group object and cogroup object. Object group obtained from cathegory object which have fulfil definition like definition a group. The cogroup object is dual from group object.  
PRESERVING SUBINJECTIVITY DOMAIN OF A MODULE Mohammad Agung; Indah Emilia Wijayanti; Desi Rahmadani
Jurnal Kajian Matematika dan Aplikasinya (JKMA) Vol 1, No 1 (2020): July
Publisher : UNIVERSITAS NEGERI MALANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17977/um055v1i12020p37-41

Abstract

An ????-module ???? is said to be indigent if its subinjectivity domain consists of only an injective module. In this paper, we study some properties of the indigent module. We give some examples of rings which have an indigent module. We also prove that subinjectivity domain of a module is preserved and reflected under equivalence.
Konstruksi Ring Bersih dari Sebarang Ring Kartika Sari; Indah Emilia Wijayanti
Jurnal Matematika Vol 5 No 2 (2015)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2015.v05.i02.p58

Abstract

The aims of this research was to construct a clean ring from any ring.  The base on the fact  that the endomorphism ring of every pure-injective module is clean, it was constructed a clean ring from any ring. So, the result of this research was it always could be constructed a clean ring from any ring.
Co-Authors A.A. Ketut Agung Cahyawan W AA Sudharmawan, AA Ahmad Faisol Ananditya Dwi Candra Bp Arif Munandar Budi Surodjo Desi Rahmadani Dewi Kartika Sari Dian Ariesta Yuwaningsih Era Setya Cahyati Fauzi, Prastudy Fibriyanti, Regita Agustin Wahyu Fitriani Handayani, Annisa Dini I Irawati Irawati Irawati Isnaini, Uha Isnaini, Uha Kartika Sari Kartika Sari Khurul Wardati Mohammad Agung Nikken Prima Puspita Rizka 'Abid Fadhiilah S Suprapto Setiawan, Aisyah Nooravieta SHAKIR ALI Sri Wahyuni Sri Wahyuni Yeni Susanti Yunita Septriana Anwar