CD Tesis

Generalisasi Derivasi Di Bm-Aljabar Dan B-Aljabar

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B-algebra is a non-empty set X with a constant 0 and a binary operation
∗ denoted by (X; ∗; 0), satisfying the certain axioms. A specialization of
B-algebra is BM-algebra. Moreover, relation of B-algebra and BM-algebra is
every BM-algebra is B-algebra, but its converse does not hold in general. In this
thesis, discussed derivations and the generalized derivations of
BM-algebras and B-algebras. The results define a (l; r)-derivation,
a (r; l)-derivation, a derivation, and a regular of BM-algebras and some of
their properties are obtained. Furthermore, also the generalized (l; r)-derivation
(respectively (r; l)-derivation) and the generalized derivation of BM-algebra and
B-algebra are defined. The definition of the generalized derivation in
BM-algebra is equivalent to the generalized derivation in B-algebra, although
some of their properties are different. BM-algebra satisfies if d is a generalized
(l; r)-derivation, then D(0) = D(x) ∗ x and D(0) = x ∗D(x) if d is a generalized
(r; l)-derivation. Whereas B-algebra only satisfies the properties if d is a identity
function. For BM-algebra, it is obtained that the generalized derivation D is a
regular if and only if D is a identity function, but B-algebra only satisfies if d
and D are two identity functions, then D is a regular.
Keywords: B-algebra, BM-algebra, (l; r)-derivation, (r; l)-derivation,
derivation, generalized derivation

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

10 15 220 (0016)

Penerbit

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

Deskripsi Fisik

xi, 61 hlm,; ill.: 29 cm

Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

10 15 220 (0016)

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

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