Aljabar p-Semisimpel = p-Semisimple Algebra

Motivated by some properties in the algebraic structure of Z, the set of all integers, with the binary operation "-" (substraction), it is constructed a new algebraic structure called BCI-algebra. Moreover, it is defined a p-semisimple BCI algebra. In this paper, it is shown that for a p-s...

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Bibliographic Details
Main Author: Perpustakaan UGM, i-lib
Format: Article
Published: [Yogyakarta] : Universitas Gadjah Mada 2005
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Description
Summary:Motivated by some properties in the algebraic structure of Z, the set of all integers, with the binary operation "-" (substraction), it is constructed a new algebraic structure called BCI-algebra. Moreover, it is defined a p-semisimple BCI algebra. In this paper, it is shown that for a p-semisimple BCI algebra, the subalgebras, the subgroups and closed ideals are all precisely the same. Key words : algebra, subalgebra, subgroup, ideal.