Abstract We study permutability properties of matrix semigroups over commutative bipotent semirings (of which the best-known example is tropical semiring ). prove that every such semigroup weakly permutable (a result previous stated in literature, but with an erroneous proof) and then proceed to depth question when they are strongly (which turns out depend heavily on semiring). Along way we cla...

Some public-key cryptosystems based on the tropical semiring have been proposed in recent years because of their increased efficiency, since multiplication is actually an ordinary addition numbers and there no semiring. However, most these security defects they adopt a public matrix to construct commutative semirings. This paper proposes new circular matrices. The relies NP-hard problem solving...

For a top semimodule over semiring with zero and nonzero identity, this paper studies the interplay between topological properties of subtractive prime spectrum algebraic semimodule. We prove that subtractively finitely generated is compact space, establish necessary sufficient conditions for to be generated. For
 multiplication commutative semiring, we radical subsemimodule coincides its ...

We introduce the concept of generalized \(\beta\) - \(\gamma\) Z contraction mapping with respect to a simulation function ξ and study existence fixed points for such mappings in complete -metric spaces. Further, we extend it partially ordered

the notion of absorbent ordered filters in implicative semigroupsis introduced, and its fuzzification is considered. relations among (fuzzy) orderedfilters, (fuzzy) absorbent ordered filters, and (fuzzy) positive implicativeordered filters are stated. the extensionproperty for (fuzzy) absorbent orderedfilters is established. conditions for (fuzzy) ordered filters to be (fuzzy)absorbent ordered ...