On Neutrosophic Z-algebras
Sahar Jaafar Mahmood
Department of Multimedia, College of Computer Science and Information Technology, University of Al-Qadisiyah, P.O.Box-88, Al Diwaniyah, Al-Qadisiyah, Iraq.
Adel Salim Tayyah
Department of Multimedia, College of Computer Science and Information Technology, University of Al-Qadisiyah, P.O.Box-88, Al Diwaniyah, Al-Qadisiyah, Iraq.
Dhirgam Allawy Hussein *
Directorate of Education in Al-Qadisiyah, Diwaniyah, Iraq.
*Author to whom correspondence should be addressed.
Abstract
This study presents the notion of neutrosophic Z-algebra and neutrosophic pseudo Z-algebra explores some of its properties. Also studied are the neutrosophic Z-ideal, neutrosophic Z-sub algebra, and neutrosophic Z-filter. Several properties are discovered, and some findings from the study of homomorphism are discussed.
Keywords: Neutrosophic Z-algebra, neutrosophic pseudo Z-algebra, neutrosophic Z-sub algebra, neutrosophic Z-ideal, neutrosophic Z-filter