On the image, characterization, and automatic continuity of $$\varvec{(\sigma }, \varvec{\tau }$$(σ,τ)-derivations
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DOI: 10.1007/s00013-017-1082-8
Abstract: The first main theorem of this paper asserts that any $$(\sigma , \tau )$$(σ,τ)-derivation d, under certain conditions, either is a $$\sigma $$σ-derivation or is a scalar multiple of ($$\sigma - \tau $$σ-τ), i.e. $$d… read more here.
Keywords: tau; varvec; sigma tau; sigma ... See more keywords
$$\sigma $$-Commuting and $$\sigma $$-Centralizing Anti-homomorphisms
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DOI: 10.1007/s41980-020-00449-8
Abstract: Let $${\mathcal {R}}$$ be a semiprime ring with center $$Z({\mathcal {R}})$$ and with extended centroid C and let $$\sigma : {\mathcal {R}} \rightarrow {\mathcal {R}}$$ be an automorphism. Assume that $$\tau : {\mathcal {R}} \rightarrow… read more here.
Keywords: tau; sigma mathcal; tau mathcal; sigma tau ... See more keywords
On a new class of two-variable functional equations on semigroups with involutions
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DOI: 10.1515/anly-2022-1071
Abstract: Abstract Let 𝑆 be a commutative semigroup, 𝐾 a quadratically closed commutative field of characteristic different from 2, 𝐺 a 2-cancellative abelian group and 𝐻 an abelian group uniquely divisible by 2. The goal of… read more here.
Keywords: non zero; sigma tau; general non; colon ... See more keywords