Elduque-Myung Type Mutations of Hom-algebras

• Elduque-Myung type mutations of general, possibly non-associative, algebras and of several classes of Hom-algebras are explored. Several extensions of the results from scalar and non-scalar mutations of associative algebras to mutations of non-associative algebras and of several kinds of hom-algebras of hom-associative type are obtained, including general conditions, in terms of Hom-associators, commutators and general mutation elements (mutations parameters), for mutated Hom-algebras or non-associative algebras to be Hom-associative, Hom-flexible, 3-Hom-Power associative, as well as results on reductions of double parameter mutations to single parameter mutations in algebras and Hom-algebras. Several formulas for mutations of associative algebras are extended to arbitrary possibly non-associative algebras and Hom-algebras.

Subject headings

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)

Keyword

Mutation

Non-associative algebra

Hom-algebra

Hom-associator

Mathematics/Applied Mathematics

matematik/tillämpad matematik

Publication and Content Type

ref (subject category)

kap (subject category)