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Irawati Irawati
Algebra Research Dvision Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung
Mathematics

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Properties of Cohereditary Comodule Hanni Garminia; Pudji Astuti; Irawati Irawati
Jurnal Matematika & Sains Vol 12, No 2 (2007)
Publisher : Institut Teknologi Bandung

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Abstract

Let R be a commutative ring and C be an R-coalgebra which, as an R-module, is locally projective. This article describes some properties of a cohereditary C-comodule. The properties are derived by exploiting the closed connection between the C*-comodule category and the full subcategory of the C*-module category consisting of all C*-subgenerated C*-modules, where C* is the dual algebra of C.
Struktur Modul Hasil Bagi dari Modul Dedekind Hanni Garminia; Pudji Astuti; Irawati Irawati
Jurnal Matematika & Sains Vol 13, No 4 (2008)
Publisher : Institut Teknologi Bandung

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It is well known that the quotient ring of a Dedekind prime ring is a Dedekind prime ring. In this article we generalize the property of Dedekind ring to a module over a commutative ring. Particularly we show that the quotient module of a Dedekind module is a Dedekind module.
Auslander Reiten Quiver of Nakayama Algebra Nn-2,n Faisal Faisal; Irawati Irawati; Intan Muchtadi Alamsyah
Jurnal Matematika & Sains Vol 18, No 1 (2013)
Publisher : Institut Teknologi Bandung

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For an algebraically closed field K, given a finite dimensional K-algebra A of  finite representation-type, we can store all the information of the module category mod A by its Auslander Reiten quiver of mod A. In this paper, we will determine the Auslander Reiten quiver of Nakayama algebra Nn-2,n  for every natural number n greater than or equal to 3, that is the  Nakayama algebra KQ/I where Q is a linear orientation cyclic quiver with  vertices and  denotes the ideal of the path algebra KQ generated by the paths of length of n – 1. Keywords: AR-quiver , Nakayama algebra, Quiver.   Quiver Auslander Reiten dari Aljabar Nakayama Nn-2,n AbstrakDiberikan K-aljabar A berdimensi hingga tipe representasi hingga dengan K suatu lapangan yang tertutup secara aljabar,  kita dapat menyimpan semua informasi dari kategori modul kanan mod A menggunakan Auslander Reiten quiver (AR-quiver) dari mod A. Dalam artikel ini, kita akan menentukan quiver Auslander Reiten dari aljabar Nakayama untuk setiap bilangan asli n lebih besar sama dengan 3. Aljabar Nn-2,n adalah aljabar Nakayama KQ/I dimana Q adalah quiver siklis berorientasi linier dengan  titik dan I adalah ideal dari aljabar lintasan KQ yang dibangun oleh lintasan panjang n – 1. Kata Kunci : AR-quiver, Aljabar Nakayama, Quiver.
Co-Authors Faisal Faisal Hanni Garminia Intan Muchtadi Alamsyah Pudji Astuti