B-Hom(Z_n,Z_n) as B-Algebras

Pramitha Shafika Wicaksono; Novi Sagita Triyanti; Lialy Sarti; Elvira Kusniyanti

Pramitha Shafika Wicaksono Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Novi Sagita Triyanti Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Lialy Sarti Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia
Elvira Kusniyanti Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesa 10, Bandung 40132, Indonesia

Keywords: B-algebra, group, B-homomorphism, the set of all integers modulo n

Abstract

B-algebra is an algebraic structure that can be built from a group. Because the set of all integers completed by the addition operation satisfies the group property then B-algebra can be built from a group of the set of all integers completed by the addition operation. The set of all B-homomorphisms from B-algebra which is built from a group of the set of all integers modulo can form B-algebra if it’s certain properties.

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