A Note on the w-Pseudo-Orders in Ordered (Semi)Hyperrings

Abstract

In this work, we study the notion of w-pseudo-order on an ordered (semi)hyperring and give some explicit examples. In addition, we give some examples to compare weak pseudo-order relations with pseudo-order relations. Finally, we construct ordered (semi)hyperrings using regular relations.

Keywords

• ordered (semi)hyperring
• w-pseudo-order
• regular relation