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Journal : JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI

On quinary semiring and properties of its special subsets Tuhfatul Janan
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35615

Abstract

In this research, we will discuss about quinary semiring and properties of its special subsets. This concept is a generalization of ternary semiring. If ternary semiring only involves 3 elements in multiplication operation, then in quinary semiring there are 5 elements involved. The method in this research is a literature study on articles in international journals. In        this research, some definitions and properties of quinary semiring and some ideals are given, such as prime ideal, completely semiprime ideal, ideal which has insertion property, and prime radical. In addition, special subsets of quinary semiring are defined by  and . Next, we give some properties of these special subsets.
Turunan Fraksional dari Fungsi Hiperbolik Syifaul Janan; Tuhfatul Janan
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35860

Abstract

Fractional derivative is a generalization of ordinary derivative with non-integer or fractional order. This research presented fractional derivative of hyperbolic function (hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cotangent, hyperbolic secant, and hyperbolic cosecant) with order constraint . The hyperbolic function is presented in Maclaurin series form. Then, the fractional derivative can be determined by using definition of Riemann-Liouville fractional derivative. The result is simulated by using Matlab software
On 2-Primal Quinary Semiring and its Characterizations by Special Subsets Tuhfatul Janan
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 2 (2025): JANUARY 2025
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i2.42165

Abstract

In this research, we introduce a new concept of 2-primal quinary semiring and its characterizations by utilizing special subsets. This concept is a generalization of 2-primal ternary semiring. The method of this research is a literature study on scientific articles in international journals. This research starts from concept of quinary semiring and some its ideals, then continues by studying the basic concept of 2-primal quinary semiring, including weakly and strongly nilpotent sets. Next, we define some special subsets of quinary semiring, and then provide some of their properties. Through this special subsets, we provide characterizations of 2-primal quinary semiring.