CD Tesis

(F,G)-Derivasi Di Bg-Aljabar

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A BG-algebra is a non-empty set X with a binary operation ∗ and
a constant 0 satisfying the following axioms: (B1) x∗x = 0, (B2) x∗0 = x,
and (BG) (x ∗ y) ∗ (0 ∗ y) = x for any x; y ∈ X, which is a generalization of
B-algebra, such that some of properties of BG-algebra have similarity by
B-algebra such as (B1) and (B2). However, some of the concepts in B-algebra
can also applied to BG-algebra, such as the concept of (f; g)-derivation. This
thesis discusses the concepts of f-derivation and (f; g)-derivation in BG-
algebra and some of related properties. The method in this research is in a
way similar to the f-derivation and (f; g)-derivation in B-algebra by
Ardekani and Davvas. The main results dene a (l; r)-f-derivation, a
(r; l)-f-derivation, a f-derivation, and left f-derivation in BG-algebras, and
obtained some of related properties. Also, a (l; r)-(f; g)-derivation, a (r; l)-(f; g)-
derivation, a (f; g)-derivation, and left (f; g)-derivation in BG-algebras
are dened, and obtained some of related properties.
Keywords: BG-algebra, (l; r)-f-derivation, (r; l)-f-derivation, f-derivation,
(f; g)-derivation, left (f; g)-derivation

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

10 15. 220 (0012)

Penerbit

Pekanbaru : Universitas Riau – Pascasarjana – Tesis Matematika., 2020

Deskripsi Fisik

xi, 51 hlm,; ill.: 29 cm

Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

10 15. 220 (0012)

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

FATAH

Versi lain/terkait

Lampiran Berkas

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