Abstract Omega Algebra that Subsumes Tropical Min and Max Plus Algebras

Abstract

In this paper abstract omega algebra is introduced and the definition is modeled in such a way that it subsumes almost all so called tropical min and max plus algebras. Concrete examples of distinct nature of these algebras are presented. As applications, symmetrized omega algebras are constructed and matrices with basic operations and some topological distances over them are defined.

Keywords

• Tropical geometry,idemptent semirings,max and min plus algebras

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