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All Journal Journal of Fundamental Mathematics and Applications (JFMA)
Harjito Harjito
Department Of Mathematics, Faculty Of Science And Mathematics, Diponegoro University
Decision Sciences, Operations Research & Management

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MODUL NEUTROSOFIK KUAT Suryoto Suryoto; Harjito Harjito; Titi Udjiani
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (3015.071 KB) | DOI: 10.14710/jfma.v1i2.15

Abstract

Given any neutrosophic ring with unity and a commutatively additive neutrosophic group. Then we can formed a neutrosophic algebraic structure is called a strong neutrosphic module. From the concept of weak neutrosophic module we extend to the concept of strong neutrosophic module. In this paper, also elementary properties of strong neutrosophic module are given.
MENGKONSTRUKSI DIRECT PRODUCT NEAR RING DAN SMARANDACHE NEAR RING Rizky Muhammad Bagas; Titi Udjiani SRRM; Harjito Harjito
Journal of Fundamental Mathematics and Applications (JFMA) Vol 2, No 2 (2019)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (389.994 KB) | DOI: 10.14710/jfma.v2i2.35

Abstract

If we have two arbitrary non empty sets  ,then their cartesian product can be constructed. Cartesian products of two sets can be generalized into  number of  sets. It has been found that if the algebraic structure of groups and rings are seen as any set, then the phenomenon of cartesian products of  sets  can be extended to groups and rings. Direct products of groups and rings can be obtained by adding binary operations to the cartesian product. This paper answers the question of whether the direct product phenomenon of groups and rings can also be extended at the  near ring and Smarandache near ring ?. The method in this paper is  by following the method in groups and rings, namely by seen that  near ring and Smarandache near ring  as a set and then build their cartesian products. Next,  the binary operations is adding to the cartesian  products that have been obtained to build the direct product definitions of near ring and near ring Smarandache.
NORMAL ELEMENT ON IDENTIFY PROPERTIES Titi Udjiani; Solikhin Zaki; Suryoto Suryoto; Harjito Harjito
Journal of Fundamental Mathematics and Applications (JFMA) Vol 1, No 2 (2018)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1373.029 KB) | DOI: 10.14710/jfma.v1i2.7390

Abstract

One type of element in the ring with involution is normal element. Their main properties is commutative with their image by involution in ring. Group invers  of element in   ring  is  always commutative with element   which is commutative  with itself. In this paper, properties of normal element in ring with involution  which also have generalized  Moore Penrose invers  are constructed by using commutative property of  group invers  in  ring.
Co-Authors Rizky Muhammad Bagas Solikhin Zaki Suryoto Suryoto Titi Udjiani SRRM