<p>On neutrosophic N-deductive systems of Hilbert algebras</p>
<p>Aiyared Iampan1,&lowast;, N. Rajesh2</p>
<p>1Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur</p>
<p>Mueang, Phayao 56000, Thailand</p>
<p>2Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University),</p>
<p>Thanjavur 613005, Tamilnadu, India</p>
<p>Emails: aiyared.ia@up.ac.th1, nrajesh topology@yahoo.co.in2</p>
<p>Abstract</p>
<p>The notion of neutrosophic N-deductive systems of Hilbert algebras is introduced, and several properties are</p>
<p>investigated. Conditions for neutrosophic N-structures to be neutrosophic N-deductive systems of Hilbert</p>
<p>algebras are provided. Relations between neutrosophic N-deductive systems and their level subsets are considered.</p>
<p>The Cartesian product of neutrosophicN-structures is also supplied. Finally, we also find the property</p>
<p>of the homomorphic pre-image of neutrosophic N-deductive systems.</p>
<p>Keywords:</p>