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Journal : Science, Technology, and Communication Journal

On (f, g)-derivation in BCH-algebra Afriastuti, Sherly; Gemawati, Sri; Syamsudhuha, Syamsudhuha
Science, Technology and Communication Journal Vol. 1 No. 3 (2021): SINTECHCOM Journal (June 2021)
Publisher : Lembaga Studi Pendidikan and Rekayasa Alam Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59190/stc.v1i3.196

Abstract

BCH-algebra is a non-empty set with the binary operation * and the constant 0, and statisfying the certain axioms. A mapping of d from X to itself is said to be a derivation in BCH-algebra if d is both (l, r)-derivation and (r, l)-derivation in BCH-algebra, where X is BCH-algebra. This article discusses the concepts of (l, r)-(f, g)-derivation, (r, l)-(f, g)-derivation, and (f, g)-derivation in BCH-algebra, and investigates the properties (l, r)-(f, g)-derivation, (r, l)-(f, g)-derivation and (f, g)-derivation in BCH-algebra.
On left fq-derivations of B-algebras Yattaqi, Egytia; Gemawati, Sri; Hasbiyati, Ihda
Science, Technology and Communication Journal Vol. 2 No. 1 (2021): SINTECHCOM Journal (October 2021)
Publisher : Lembaga Studi Pendidikan and Rekayasa Alam Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59190/stc.v2i1.197

Abstract

In this paper, we introduce the notion of left fq-derivation of B-algebra and investigate some related properties. Among them are properties of left fq-derivation  of B-algebra  and given properties of . Then, we discuss the properties of the regularleft fq-derivation on B-algebras and composition properties of fq-derivation on particular B-algebra, namely on BM-algebra.
t-derivations in BP-algebras Siswanti, T. Fuja; Gemawati, Sri; Syamsudhuha, Syamsudhuha
Science, Technology and Communication Journal Vol. 1 No. 3 (2021): SINTECHCOM Journal (June 2021)
Publisher : Lembaga Studi Pendidikan and Rekayasa Alam Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.59190/stc.v1i3.199

Abstract

BP-algebras is a non-empty set (X, *, 0) with the binary operation “*” satisfies the axioms (BP1) x * x = 0, (BP2) x * (x * y) = y, (BP3) (x * z) * (y * z) = x * y for all x, y, z = X . In this paper, we define the concept of (l, r) and (r, l) t-derivation in BP-algebra and investigate their properties. Based on the concepts of (l, r) and (r, l) t-derivation in BP-algebra, the properties of t-derivation in BP-algebra are constructed.
Co-Authors Abd. Ghafur Bin Ahmad Abd. Ghafur Bin Ahmad Abdul Hadi Ade Nova Rahma Ade Novia Rahma Afriastuti, Sherly Agusni ' Alberta Rika Pratiwi Ali Subroto Amalina Amalina, Amalina Andriani, Dessy Ani Ani Ardiansyah Yan Hakim Nasution Asli Sirait Ayunda Putri Barutu, Fabelia Andani Beauty, Meivy Andhika Bona Martua Siburian Chitra Valentika Danil Hendry Gamal, Moh Delisa Pratiwi Dessy Andriani Dessy Andriani . Egytia Yattaqi Elsi Fitria Endah Dwi Jayanti Endang Lily Fabelia Andani Barutu Fitra, Mardani Gamal, M.D.H Hasriati Hasriati Hendra Maryulis Husnul Khatimah Husnul Khatimah Ihda Hasbiyati Indryantika, Nessy Irma . Fitri IRSAN TAUFIK ALI Jufri Jufri Jufri Jufri Jufri, Jufri Kartini Kartini Leli Deswita Lydia . Ariftalia M. D. H. . Gamal M. Imran M. Mashadi M.D.H Gamal M.D.H Gamal Mas hadi Mashadi Mashadi ' Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mashadi Mirfaturiqa, Mirfaturiqa Misra Herlina Musraini M Musraini, Musraini Mu’tamar, Khozin novelia . . Novita Yuliardani Novrialman ' Nur Meliana Sari Nurbai, Reihani Jemila Oki Rasdana Pratiwi, Delisa Puteri Januarti Putri, Ayuni Ramadhan, Andi Rio Rika Pratiwi Rika Pratiwi Rike Marjulisa Riza . Gushelsi Rora Oktafia Selva Amelia Sandi Siswanti, T. Fuja Sri . Handayani Sri Sukmawati Sugianti, Khoirunnisa Surlina Surlina Syamsudhuha Syamsudhuha Welly Desriyati Wellya Aziz Wita . Maywidia Yattaqi, Egytia Yeni . Azrida Yuliardani, Novita Yulismansyah ' Zulkarnain Zulkarnain