Estimation of permuting tri-homomorphisms and permuting tri-derivations associated with the tri-additive Υ-random operator inequality in matrix MB-algebra

Applying the Radu-Mihet method derived from an alternative FPT, we stabilize the tri-additive Upsilon-random operator inequality by providing a class of stochastic matrix control functions in matrix MB-algebras. In addition, we get an estimation for permuting trihomomorphisms and permuting tri-derivations in unital matrix MC-lozenge-algebras and matrix MB-algebras.

Automated summary

In this paper, we stabilize the tri-additive Upsilon-random operator inequality by applying the Radu-Mihet method derived from an alternative FPT, and provide a class of stochastic matrix control functions in matrix MB-algebras. Additionally, we estimate permuting trihomomorphisms and permuting tri-derivations in unital matrix MC-lozenge-algebras and matrix MB-algebras.