TY - JOUR AU - Ghadiri, Mansour PY - 2021/03/31 Y2 - 2024/03/29 TI - Hv-Field of Fractions and Hv-Quotient Rings JF - Journal of the Indonesian Mathematical Society JA - JIMS VL - 27 IS - 1 SE - Articles DO - 10.22342/jims.27.1.869.75-89 UR - http://jims-a.org/index.php/jimsa/article/view/869 SP - 75-89 AB - <span class="fontstyle0">A larger class of algebraic hyperstructures satisfying the ring (field)-like<br />axioms is the class of </span><span class="fontstyle2">H</span><span class="fontstyle3">v</span><span class="fontstyle0">-rings (</span><span class="fontstyle2">H</span><span class="fontstyle3">v</span><span class="fontstyle0">-fields). In this paper, we define the </span><span class="fontstyle2">H</span><span class="fontstyle3">v</span><span class="fontstyle0">-integral<br />domain and introduce the </span><span class="fontstyle2">H</span><span class="fontstyle3">v</span><span class="fontstyle0">-field of fractions of an </span><span class="fontstyle2">H</span><span class="fontstyle3">v</span><span class="fontstyle0">-integral domain. Also, the<br /></span><span class="fontstyle2">H</span><span class="fontstyle3">v</span><span class="fontstyle0">-quotient ring and some relative theorems are presented. Finally, some interesting<br />results about the </span><span class="fontstyle2">H</span><span class="fontstyle3">v</span><span class="fontstyle0">-rings of fractions, </span><span class="fontstyle2">H</span><span class="fontstyle3">v</span><span class="fontstyle0">-quotient rings and the relations between<br />them are proved.</span><br /><br /> ER -