In the present paper, we apply the concept of reverse derivation in rings on the concept of d - algebra to obtain the concept called a left-right (resp. right-left) reverse derivations of d-algebra X (briefly, (l, r) resp. (r, l)- reverse derivation of d-algebra ), we will also, define some concepts such as regular map, composition two maps and study the related properties. Moreover, the notions of partial ordered edge d - algebra as well as d - subalgebra and their relation to our current study are obtained. In addition, some illustrative examples and counterexamples are discussed.
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Univ Fed Uberlandia, Math Dept, Ave Joao Naves de Avila 2121, BR-38408100 Uberlandia, BrazilUniv Fed Uberlandia, Math Dept, Ave Joao Naves de Avila 2121, BR-38408100 Uberlandia, Brazil
de Barros, Dylene Agda Souza
Ferreira, Bruno Leonardo Macedo
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IFG Brazil, BR-05508090 Goiania, Go, Brazil
Fed Univ Technol, Av Professora Laura Pacheco Bastos 51, BR-80085053 Guarapuava, PR, Brazil
Fed Univ ABC, Ave Estados 5001, BR-09280560 Santo Andre, SP, BrazilUniv Fed Uberlandia, Math Dept, Ave Joao Naves de Avila 2121, BR-38408100 Uberlandia, Brazil
Ferreira, Bruno Leonardo Macedo
Guzzo Jr, Henrique
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IFG Brazil, BR-05508090 Goiania, Go, BrazilUniv Fed Uberlandia, Math Dept, Ave Joao Naves de Avila 2121, BR-38408100 Uberlandia, Brazil