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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI Jurnal Matematika & Sains Journal of Mathematical and Fundamental Sciences BAREKENG: Jurnal Ilmu Matematika dan Terapan Journal of Fundamental Mathematics and Applications (JFMA)
Hanni Garminia
Research Group Algebra, Faculty Of Mathematics And Natural Sciences, ITB
Astronomy Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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 1 
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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Abstract

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.
Pengaruh Gangguan pada Perubahan Prioritas dan Indeks Konsistensi Matriks Perbandingan Berpasangan dalam Analytical Hierarchy Process Hanni Garminia; Moh. Hafiyusholeh; Pudji Astuti
Jurnal Matematika & Sains Vol 15, No 3 (2010)
Publisher : Institut Teknologi Bandung

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Abstract

A pairwise comparison matrix (PCM) is a matrix arising in Analytical Hierarchy Process (AHP). The application of the AHP as a decision problem tool gives rise to pairwise comparison matrices (PCM). In this work we investigate sufficient conditions on the disturbance which results in reversal of the rank order of the decision alternatives while the PCM  remains consistent.
Jumlah Langsung Subsemimodul Prima Andi Muhammad Anwar; Hanni Garminia; Irawati Irawati
Jurnal Matematika, Statistika dan Komputasi Vol. 18 No. 2 (2022): JANUARY 2022
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v18i2.16669

Abstract

Let be a commutative semiring. A semimodule over a semiring is a fully prime semimodule if each proper subsemimodule of is prime. This research aims to investigate the relationship between a direct sum of prime subsemimodules and , , and a fully prime semimodule.
Behavior for Time Invariant Finite Dimensional Discrete Linear Systems Sisilia Sylviani; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 45 No. 1 (2013)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2013.45.1.4

Abstract

The behavior of a dynamical system, in Willems's point of view, is the set of all trajectories of the system. Fuhrmann defines a behavior as a linear, shift invariant, and complete subspace of z-1Fm[[z-1]], the vector space consisting of power series in z-1 with coefficients in signal space W=Fm. In this paper we show that the behavior of a finite dimensional, time invariant discrete linear system in Willems's setting is also a behavior according to Fuhrmann's.
Riesz Representation Theorem on Bilinear Spaces of Truncated Laurent Series Sabarinsyah Sabarinsyah; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 49 No. 1 (2017)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2017.49.1.3

Abstract

In this study a generalization of the Riesz representation theorem on non-degenerate bilinear spaces, particularly on spaces of truncated Laurent series, was developed. It was shown that any linear functional on a non-degenerate bilinear space is representable by a unique element of the space if and only if its kernel is closed. Moreover an explicit equivalent condition can be identified for the closedness property of the kernel when the bilinear space is a space of truncated Laurent series.
Continuous-Like Linear Operators on Bilinear Spaces Sabarinsyah Sabarinsyah; Hanni Garminia; Pudji Astuti
Journal of Mathematical and Fundamental Sciences Vol. 52 No. 2 (2020)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2020.52.2.8

Abstract

This paper introduces continuous-like linear operators on bilinear spaces as a generalization of continuous linear operators on Hilbert spaces. It is well known that the existence of the adjoint of a linear operator on a Hilbert space is equivalent to the operator being continuous. In this paper, this result is extended to the class of linear operators on bilinear spaces. It is shown that the existence of the adjoint of a linear operator on a bilinear space is guaranteed if and only if the operator is continuous-like.
KARAKTERISASI MODUL CYCLICALLY PURE (CP)-INJEKTIF Nia Yulianti; Hanni Garminia Y
Journal of Fundamental Mathematics and Applications (JFMA) Vol 3, No 1 (2020)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (954.808 KB) | DOI: 10.14710/jfma.v3i1.7672

Abstract

This research deals with the structure of cyclically pure injective modules over a commutative ring R. If I be an ideal of R, proved that any CP-injective R/Imodul is also CP-injective as an R-module. The main result of research is the existance of CP-injective R-module if there is an R-module. More over, we deal characterization of CP-injective module which is related to proper essential ctclically pure extension. It is shown that R-modul D is cyclically pure injective if and only if D has no proper essential cyclically pure extension.
ON CONDITIONS FOR MATRICES T SUCH THAT T-I AND I-T^(-1) ARE INVERSE H-MATRICES* Gormantara, Jeriko; Garminia, Hanni; Amir, Amir Kamal; Ramdan, Evan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss4pp2953-2962

Abstract

In this article, we study an analogue of a classical result for M-matrices: if T - I is an invertible M-matrix, then both T and I - T-1 are also invertible M-matrices. We extend this implication to a broader class—inverse H-matrices. The expressions T - I and I - T-1 commonly arise in the analysis of matrix stability, convergence of iterative methods, and spectral transformations, making their structural properties important for numerical analysis. We demonstrate that this implication does not generally hold for inverse H-matrices. However, we derive some conditions under which it remains valid. Specifically, we prove that under certain conditions, if T - I is an inverse H-matrix, then T and I - T-1 are also inverse H-matrices. Additionally, we investigate the result in the context of group inverses, showing that it does not hold for group inverse M-matrices and H-matrices.
Co-Authors Amir Kamal Amir Andi Muhammad Anwar Gormantara, Jeriko Irawati Irawati Moh. Hafiyusholeh Nia Yulianti Pudji Astuti Pudji Astuti Pudji Astuti Pudji Astuti Ramdan, Evan Sabarinsyah, Sabarinsyah Sisilia Sylviani