| 1 | Derimorphisms over Algebras and Applications显示文摘The new concept'derimorphism'generalizing both derivation and homomor-phism is defined.When a derimorphism is invertible,its inverse is a Rota-Baxter operator.The general theory of derimorphism is established.The classification of all derimorphisms over an associative unital algebra is obtained.Contrary to the nonexistence of nontriv-ial positive derivations,it is shown that nontrivial positive derimorphisms do exist over any pair of opposite orderings over R[x],the lattice-ordered full matrix algebra and upper triangular matrix algebra over a totally ordered field. | X.Cao S.H.Liu X.S.Lu Z.J.Ye Z.R.Yu Y.H.Zhang | 2023 | Algebra Colloquium2023，30，2： | 0 |
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