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Suryoto
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Religion Computer Science & IT Education Mathematics

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Eksistensi Invers Moore Penrose Diperumum Elemen Normal Diperumum pada Ring dengan Involusi Titi Udjiani SRRM; Nikken Prima Puspita; Suryoto
Limits: Journal of Mathematics and Its Applications Vol. 20 No. 1 (2023): Limits: Journal of Mathematics and Its Applications Volume 20 Nomor 1 Edisi Ma
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

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The Moore Penrose inverse of normal element in ring with involution have been discussed by several researchers. By generalizing concept of Moore Penrose inverse to the generalized Moore Penrose inverse, the element properties of the generalized Moore Penrose inverse of normal elements have also been obtained. In addition to generalizing the concept of Moore Penrose inverse, the definition of the normal element has also been generalized by generalizing the power of 1 to n e N. It is found that intersection between set of generalized normal element and set of generalized Moore Penrose inverse element is not empty. This indicates that both of them have common properties, so this paper aims is to build the necessary and sufficient conditions for a generalized normal element to have a generalized Moore Penrose inverse using these properties. The method used is to look for the similarity of properties possessed by a generalized normal element and element that has generalized Moore Penrose inverse. The next step is to use the involution properties to obtain the final result. The approach taken is not only through the generalized Moore Penrose inverse, but also group inverse.
Dualisme Lembaga Pendidikan di Indonesia: doi 10.58569/jies.v1i2.582 Suryoto; Hitami , Munzir; Yusrianto , Edy
Journal of Islamic Education Studies Vol. 1 No. 2 (2023)
Publisher : Pascasarjana Universitas Islam Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58569/jies.v1i2.582

Abstract

The terms dualism and dichotomy have the same meaning, namely the separation between general education and religious education. Dichotomy always gives rise to different views on one side and equality on the other. The dichotomous view essentially ignores the essence or value of the spirit of education. Differentiating and equating are more interpreted at the surface level so that it clearly damages the spirit value of Islamic education. Dualism and dichotomy are not only at the level of segregation, but have entered the area of separation which in practice separates general subjects from religious subjects, public schools and madrasas which are managed separately. The climax was when the New Order government issued a Joint Decree (SKB) on March 24, 1975 which confirmed the separation to date. The impact was detrimental and the meaning of Islam became narrower because the compartmentalization of knowledge ultimately subordinated and neglected Islamic education. As an alternative solution, efforts to integrate knowledge and repositioning must be followed, namely the perspective of Islamic sciences in their true position.
Co-Authors Hitami , Munzir Nikken Prima Puspita Titi Udjiani SRRM Yusrianto , Edy