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All Journal Journal of Islamic Education Studies Integra: Journal of Integrated Mathematics and Computer Science
Suryoto
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Religion Computer Science & IT Education Mathematics

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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.
Characterization and Cartesian Product of Smarandache Semigroups (S-semigroups) Fadhilah, Laila Karimatul; Suryoto; Nikken Prima Puspita; Titi Udjiani
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263149

Abstract

Let (S, *) be a semigroup. A semigroup S is called a Smarandache semigroup (or S-semigroup) if it contains a proper subset A ⊂ S such that (A, *) forms a group under the same binary operation defined on S. In general, not every semigroup admits a proper subset that is a group; hence, not all semigroups are S-semigroups. In this paper, several structural conditions related to Smarandache semigroups are investigated. In particular, we study the role of idempotent and completely regular elements in the structure of S-semigroups. These conditions provide a characterization of S-semigroups. Furthermore, this study investigates whether the Cartesian product of two or more S-semigroups is again an S-semigroup.
Co-Authors Fadhilah, Laila Karimatul Hitami , Munzir Nikken Prima Puspita Titi Udjiani SRRM Yusrianto , Edy