CD Tesis

Konstruksi Dan Analisis Filter Di Bn-Aljabar

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ABSTRACT
ANDI RIO RAMADHAN. 2110246916, Construction and Analysis of Filters
in BN-Algebra, supervised by Sri Gemawati and Kartini.
BN-algebra (A; ∗, 0) is a non-empty set A equipped with a binary operation
∗ and a constant 0, which satisfies the following axioms: (B1) a ∗ a = 0, (B2)
a ∗ 0 = a, and (BN) (a ∗ b) ∗ c = (0 ∗ c) ∗ (b ∗ a) for every a, b, c ∈ A. A subset I
of A is called an ideal in A if it satisfies: (i) 0 ∈ I, and (ii) for every b ∈ I and
a ∗ b ∈ I, it follows that a ∈ I for every a, b ∈ A. In this thesis, the concepts of
filter, closed filter, completely closed filter in BN-algebra, and closed filter with
respect to an element in BN-algebra are defined. The method used refers to
the construction of the filter concept in BH-algebra. The results obtained are
the definitions and properties of filter, closed filter, completely closed filter in
BN-algebra, and closed filter with respect to an element in BN-algebra, such as
the relation between filter in BN-algebra, BN-algebra with condition (D), and
BN1-algebra, as well as the relation between filter with ideal, normal ideal, and
subalgebra. Furthermore, the relationship between closed filter with respect to
an element in BN-algebra with its filter, subalgebra, normal, and ideal is also
discussed.
Keywords: BN-algebra, filter, closed filter, ideal, normal, subalgebra

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

2110246916

Penerbit

Pekanbaru. : Universitas Riau – PASCA– Magister Matematika., 2025

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

2110246916

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MAGISTER MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

RIDHO

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