Orthogonal-gradings on $$H^*$$H∗-algebras

Let (𝔘, ɛu ) and (𝔅, ɛb ) be two pointed sets. Given a family of three maps ℱ = {f 1 : 𝔘 → 𝔘; f 2 : 𝔘 × 𝔘 → 𝔘; f 3 : 𝔘 × 𝔘 → 𝔅}, this family provides an adequate decomposition of 𝔘 \ {ɛu } as the orthogonal disjoint union of well-described ℱ-invariant subsets. This decomposition is applied to the structure theory of graded involutive algebras, graded quadratic algebras and graded weak H *-algebras.

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Certain partitions on a set and their applications to different classes of graded algebras

Martín

Dieme

2021

Communications in Mathematics

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Orthogonal-gradings on $$H^*$$H∗-algebras

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Certain partitions on a set and their applications to different classes of graded algebras

Certain partitions on a set and their applications to different classes of graded algebras

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