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All Journal Journal of the Indonesian Mathematical Society BAREKENG: Jurnal Ilmu Matematika dan Terapan Journal of Science and Technology Mathematics and Applications (MAp) Journal
Elsi Fitria
Universitas Riau
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GENERALISASI t-DERIVASI di B-ALJABAR Fitria, Elsi; Gemawati, Sri; Amalina, Amalina; Nurbai, Reihani Jemila
MAp (Mathematics and Applications) Journal Vol 3, No 1 (2021)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (504.941 KB) | DOI: 10.15548/map.v3i1.2638

Abstract

Pada artikel ini didefinisikan konsep generalisasi left-right t-derivasi ((l, r)-t-derivasi) dan generalisasi right-left t-derivasi ((r, l)-t-derivasi) di B-aljabar dan diselidiki sifat-sifatnya. Kemudian, juga diselidiki sifat-sifat dari suatu generalisasi t-derivasi yang regular di B-aljabar. Pada bagian akhir, dibahas sifat-sifat generalisasi (l, r)-t-derivasi dan generalisasi (r, l)-t-derivasi di B-aljabar 0-komutatif.
Generalisasi fq-Derivasi di B-Aljabar Fitria, Elsi; Gemawati, Sri; Sugianti, Khoirunnisa
JOSTECH: Journal of Science and Technology Vol 2, No 1: Maret 2022
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v2i1.3752

Abstract

In this paper, another type of derivation in B-algebra is defined, by defining two self-maps, one of which is a derivation in B-algebra (denoted by d) and the other is called generalization of derivation in B-algebra (denoted by D). Based on this definition, some properties of generalized -derivation and generalized -derivation in B-algebra are constructed, then there is one common property, that is if d and D are identity functions, then D is regular. Then, the concept is used as a reference to define the generalized -derivation in B-algebra. In the last section, we discuss some properties of generalized -derivations in B-algebras.
f-Derivasi di BN1-Aljabar Yanti, Rosa Gusmira; Handayani, Hanif; Fitria, Elsi
JOSTECH: Journal of Science and Technology Vol 2, No 1: Maret 2022
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v2i1.3756

Abstract

In this paper, another type of derivation in BN1-algebra is defined, which involves an endomorphism of BN1-algebra, namely defining the concepts of left-right -derivation and right-left -derivation (briefly --derivation and --derivation) in BN1-algebras. Based on this definition, some properties of -derivation in BN1-algebras are constructed, then there is one common property, which is if  is a (l, r)-f-derivation or a (r, l)-f-derivation of X, then  is a f-derivation of X. Furthermore, some properties of a regular -derivation in BN1-algebras are constructed.
GENERALISASI q-DERIVASI DI BE-ALJABAR Elsi Fitria; Endah Dwi Jayanti; Sri Gemawati
MAp (Mathematics and Applications) Journal Vol 5, No 1 (2023)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/map.v5i1.6094

Abstract

BE-algebra is an algebra (X; *,1) of type (2,0) that satisfies the axioms (BE1) x*x=1, (BE2) x*1=1, (BE3) 1*x=x, and (BE4) x*(y*z)=y*(x*z) for all x,y,z ∈X. In this paper, the concept of generalization of q-derivation in BE-algebra is defined and its properties are determined. Then,we discuss the properties of the kernel of a generalized q-derivation in BE-algebra based on their relation to its elements.
fq-Derivation of BP-Algebras Sri Gemawati; Mashadi Mashadi; Musraini M; Elsi Fitria
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 2 (JULY 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.2.1448.235-244

Abstract

First, this article presents the definition of left-right derivation and right-left derivation in BP-algebra, and their characteristic are explored. Then, we define the concept of inside and outside fq-derivation of BP-algebras. Finally, their properties are explored. Furthermore, the notion of fq-derivation within BP-algebra is synonymous with B-algebra; however, they do exhibit variations in their respective characteristics.
T-IDEAL AND α-IDEAL OF BP-ALGEBRAS Gemawati, Sri; M, Musraini; Putri, Ayunda; Marjulisa, Rike; Fitria, Elsi
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 2 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss2pp1129-1134

Abstract

This paper explores the characteristics of two distinct ideal types within BP-algebra, specifically T-ideal and -ideal. Initially, we elucidate the characteristics of the T-ideal in BP-algebra, establishing its connections with the perfect, normal, and normal ideal in BP-algebra. Subsequently, we demonstrate that the kernel of a homomorphism in BP-algebra constitutes a T-ideal. Moving forward, we delineate the properties of -ideal in BP-algebra, highlighting its relationships with ideal and filter in the context of BP-algebra. Additionally, we explore the characteristics of -ideal and subalgebra in 0-commutative BP-algebra. Finally, it is proven that the kernel of a homomorphism in 0-commutative BP-algebra can be identified as an -ideal.
Co-Authors Amalina Amalina, Amalina Ayunda Putri Endah Dwi Jayanti Handayani, Hanif Mashadi Mashadi Musraini M Nurbai, Reihani Jemila Rike Marjulisa Sri Gemawati Sugianti, Khoirunnisa Yanti, Rosa Gusmira