Mahanani, Dwi Mifta and Ismiarti, Dewi (2023) Some fundamental properties of heaps. BAREKENG: Jurnal Ilmu Matematika dan Terapan, 17 (4). pp. 19271932. ISSN 26153017

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Abstract
Heap is defined to be a nonempty 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 subheaps, normal subheaps, quotient heaps, and heap morphisms. On this study, we will associate subheaps 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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