21. The definitions of terms used throughout ring theory may be found in the glossary of ring theory . 22. Proving these properties effectively requires you to use distributivity which is a key axiom in ring theory . 23. The students formed a company called Ring Theory and funded development of the product using a Kickstarter campaign. 24. As a result, commutative ring theory , commonly known as commutative algebra, is a key topic in ring theory. 25. The "'O-ring theory of economic development "'is a assortative matching, whereby people with similar skill levels work together. 26. As a result, commutative ring theory, commonly known as commutative algebra, is a key topic in ring theory . 27. Epigroups have applications to ring theory . 28. Is the thinking involved simply that of ring theory , lattice theory or category theory in a different guise? 29. The concept of an order ideal in order theory is derived from the notion of ideal in ring theory . 30. "' Birge Huisgen-Zimmermann "'is a mathematician at University of California, Santa Barbara specializing in representation theory and ring theory .