Additive derivative and multiplicative coderivative operators on MV-algebras | Zendy

Ahmet Hamal | Zendy

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Additive derivative and multiplicative coderivative operators on MV-algebras

Author(s) -

Ahmet Hamal

Publication year - 2019

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1810-8

Subject(s) - derivative (finance) , mathematics , multiplicative function , connection (principal bundle) , closure (psychology) , interior algebra , pure mathematics , nest algebra , generalizations of the derivative , second derivative , non associative algebra , algebra over a field , algebra representation , mathematical analysis , market economy , geometry , financial economics , economics

In this paper we introduce derivative MV-algebras (or MV-algebras with additive derivative operators). We indicate that the derivative MV-algebras are generalizations of closure MV-algebras. Then we investigate the connection between additive derivative operators on MV-algebras and the derivative operators on the greatest Boolean subalgebras of MV-algebras. Finally, we study some properties of the derivative MV-algebras.

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