PERLUASAN SIFAT RANK MATRIKS BUJURSANGKAR ATAS RING KOMUTATIF DITINJAU DARI DETERMINANNYA

Abstract View: 347, PDF Download: 370

Authors

  • Ismanto Ismanto Universitas Nahdlatul Ulama Sunan Giri

DOI:

https://doi.org/10.32665/james.v1iApril.13

Keywords:

Ideal, Annihilator, Rank of Matrices Over Commutative Ring, Rank Matriks Atas Ring Komutatif

Abstract

This paper is described the properties rank of square matrices over commutative ring if connected with it’s determinant. Rank of n x n matrix over commutative ring is less than n, if  it’s determinant is an element of zero divisor in R. Rank of n x n matrix over commutative ring is n, if it’s determinant is not element of zero divisor in R.

 

Makalah ini membahas sifat-sifat rank matriks bujursangkar atas ring komutatif jika dihubungkan dengan determinannya. Rank matriks atas ring komutatif ukuran n x nlebih kecil dari n, jika determinannya merupakan anggota pembagi nol di R.Rank matriks atas ring komutatif ukuran n x nsama dengan n, jika determinannya bukan anggota pembagi nol di R.

References

[1] Bhattacharya, P.B., Jain, S.K., &Nagpaul, S.R., Basic Abstract Algebra, Press Sydicate, Australia (1990).
[2] Brown, W.C., Matrices over Commutative Rings, Marcel Dekker Inc, New York (1993).
[3] Durbin, J.R., Modern Algebra An Introduction, John Willey and Sons Inc. New York (1992).
[4] Leon, S.J., Aljabar Linier dan Aplikasinya, Erlangga, Jakarta (2001).
Mathematics Journal

Downloads

Published

2018-04-15

How to Cite

[1]
I. Ismanto, “PERLUASAN SIFAT RANK MATRIKS BUJURSANGKAR ATAS RING KOMUTATIF DITINJAU DARI DETERMINANNYA”, JaMES, vol. 1, no. 1, pp. 21–28, Apr. 2018.

Issue

Vol. 1 No. 1 (2018): Journal of Mathematics Education and Science

Section

Articles

License

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) before and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work
Abstract View: 347, PDF Download: 370