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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi Journal of Local Government Issues
Saropah Saropah, Saropah
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Mathematics Social Sciences

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Akar-akar Polinomial Separable sebagai Pembentuk Perluasan Normal pada Ring Modulo Saropah, Saropah
CAUCHY Vol 2, No 3 (2012): CAUCHY
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (137.582 KB) | DOI: 10.18860/ca.v2i3.3124

Abstract

One of the most important uses of the ring and field theory is an extension of a broader field so that a polynomial can be found to have roots. In this study researchers took modulo a prima as follows indeterminate coeffcients to search for his roots extension the solutions of that it can seen normal. A field is subject to a polynomial form a set of polynomials , where is a coefficient field its terms modulo a prime number. Of the set of polynomial exists a polynomial is irreducible, it is necessary to extension the field to know the roots of the solution. Suppose to extension of the field is a field . Field is called extension the field over a field , if the field is subfield of the field and is irreducible polynomial in then can be factored as a product of linear factors in the splitting field. If the polynomial has different roots in the splitting field the polynomial is called polynomial separable. In this study polynomial separable is contained of odd degree in which the coefficients of the tribes polynomial is contained in the extension field. Polynomial is called a polynomial separable odd because it has different roots in the factors and there is one factor in a polynomial in the field. Splitting field that contains all the set of polynomials separable is called normal extension.
The Benefit of Bureaucratic Simplification for Bontang City Government Daryono, Daryono; Ratna Kusuma, Aji; Saropah, Saropah
Journal of Local Government Issues Vol. 6 No. 2 (2023): September
Publisher : Universitas Muhammadiyah Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22219/logos.v6i2.25051

Abstract

The purpose of this study is to ascertain the advantages of administrative simplification for the Bontang City Government. The methodology in this study is qualitative. Interviews, observation, and documentation were used to gather the data, which was then analyzed utilizing an interactive analytical model through the steps of data reduction, data presentation, and conclusion-making. The research results show benefits bureaucratic simplification in Thus it can be concluded that productivity has increased compared to before the simplification of bureaucracy in the Bontang City Government look of the dimensions of the productivity, responsiveness and accountability.In dimension work productivity among others line of a bureaucratic becoming more efficient and effective. Documents completed immediately according to SOP can be completed immediately on the same day, no need to wait for tomorrow or the day after tomorrow. Bureaucratic simplification in dimension responsiveness benefits include employees become more responsive to work, so that the implementation of services becomes fast and precise. Increase innovation services and the complaints has declined and Complaints about service are decreasing. While benefits bureaucratic simplification in dimension accountability among others more can provide services, motivate employees to employees can develop themselves. Better and well-measured supervision from superiors, tiered supervision.
Co-Authors Daryono Daryono, Daryono