Some fundamental properties of heaps

Mahanani, Dwi Mifta and Ismiarti, Dewi (2023) Some fundamental properties of heaps. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 17 (4). pp. 1927-1932. ISSN 2615-3017

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Abstract

Heap is defined to be a non-empty set with ternary operation satisfying associativity, that is for every and satisfying Mal’cev identity, that is for all . There is a connection between heaps and groups. From a given heap, we can construct some groups and vice versa. The binary operation of groups can be built by choosing any fixed element of heap and is defined by =[x,e,y] for any . Otherwise, for given a binary operation of group , we can make a ternary operation defined by for every On heaps, there are some notions which are inspired by groups, such as sub-heaps, normal sub-heaps, quotient heaps, and heap morphisms. On this study, we will associate sub-heaps and corresponding subgroups and discuss some properties of heap morphisms.

Item Type:	Journal Article
Keywords:	Groups; Heaps; Mal’cev Identity; Ternary Operation
Subjects:	01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010101 Algebra and Number Theory
Divisions:	Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User:	Dewi Ismiarti
Date Deposited:	22 Dec 2023 13:14

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