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All Journal MATEMATIKA JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat)
Amir Kamal Amir
Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Hasanuddin
Humanities Education Engineering Mathematics Public Health Other

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Journal : MATEMATIKA

 1 
PEMBENTUKAN ANTI-AUTOMORFISMA PADA GELANGGANG OPERATOR DIFERENSIAL Amir, Amir Kamal
MATEMATIKA Vol 14, No 1 (2011): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. Let  R be any ring with identity 1,  be an endomorphism of  R and  be a left -derivation. The skew polynomial  ring over R in an indeterminate x, denoted by  , is the set of    polynomials  where  with  multiplication rule  for all  For    the skew polynomial ring is written as  and is called differential operator ring. In this paper will be constructed  anti-automorphism on this ring, i.e., .  
PENGGUNAAN BEBERAPA TEORI MATRIKS DALAM TEORI GRAF Amir, Amir Kamal
MATEMATIKA Vol 13, No 2 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In a simple graf G, two veritces u and v are called adjacent in G if {u,v} ia an edge of G. The adjacency matrix A of G is the n x n zero-one matrix with 1 as its (i,j)th entry when vi and vj are adjacent, and 0 as its (i,j)th entry when they are not  adjacent. In this paper will be described the characteristic of characteristic polynomial of a graph. Moreover, the relationship between the characteristic polynomial of a graph with characteristic polynomial of its subgraph will also be outlined. In addition, will also be described the shape of eigenvalues and eigenvectors of certain graph.
MENENTUKAN DEVIASI DARI HIMPUNAN TERURUT PARSIAL Amir, Amir Kamal
MATEMATIKA Vol 12, No 1 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

To measure of how close the ring is to being Artinian ring is used usually so called Krull dimention. In the case of noncommutative rings, the Krull dimention is measured on the lattice of ideals. In this situation, the lattice of  ideals is seen as a poset (partial ordered  set) and then the deviation of the poset is measured. This paper will describe, completely, deviation of posets including the deviation of product of two posets. Moreover, this paper also will present characteristic of poset which has a deviation and does not have.  
Co-Authors A.A. Ketut Agung Cahyawan W Firman Firman Haryanto, Loeky Jusmawati Massalesse Kasbawati Kasbawati Mahie, Andi Galsan Naimah Aris Nur Erawaty Rangkuti, Aidawayati Sahriman, Sitti