CD Tesis

Generalisasi F -Derivasi Di Bp-Aljabar

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BP-algebra is a non-empty set X with a constant 0 and a binary operation
” ∗ ”, satisfying the certain axioms. An algebra relationship with BP-algebra is
a BM-algebra. Their relationship is every BP-algebra 0-commutative is a BM-
algebra. The concept of the generalized of derivation in BM-algebra is discussed.
In this thesis, the generalized of derivations and the generalized of f-derivations
in BP-algebra are discussed. The results define a generalized of (l; r)-derivation,
a generalized of (r; l)-derivation, a generalized of derivation, and a regular in
BP-algebra, and some of related properties are investigated. Then, a generalized
of (l; r)-f-derivation, a generalized of (r; l)-f-derivation, and a generalized of f-
derivation in BP-algebra are defined, also their properties are investigated. The
definition of a generalized derivation in BP-algebra is equivalent to a generalized
derivation in BM-algebra, and all properties of the generalized derivation in
BM-algebra are also satisfied in BP-algebra. But, we obtain a property of the
generalized of derivation in BP-algebra, which is not satisfies in BM-algebra,
that is if D is a generalized (l; r)-derivation in BP-algebra (X; ∗; 0) and 0∗x = x,
then D(x) = D(0) ∗ x = x ∗ D(0) and D(x) ∗ D(y) = x ∗ y for all x; y ∈ X.
Furthermore, the properties of the generalized of derivation in BP-algebra are
different to the properties of the generalized of f-derivation in BP-algebra.
Keywords: BP-algebra, generalized (l; r)-derivation, generalized (r; l)-derivation,
generalized (l; r)-f-derivation, generalized (r; l)-f-derivation

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

10 15 220 (0021)

Penerbit

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

Deskripsi Fisik

xi, 42 hlm,; ill.: 29 cm

Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

10 15 220 (0021)

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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