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Functional identities on tensor products of algebras
Brešar, Matej
Naj bosta ▫$R$▫ in ▫$S$▫ enotski algebri. Če je ▫$X$▫ ▫$d$▫-prosta podmnožica ▫$R$▫ in je ▫$S$▫ končno razsežna, potem je ▫$\mathfrak{X} = \{x \otimes s\,|\,x \in X,s \in S\}$▫ ▫$d$▫-prosta ...podmnožica algebre ▫$R \otimes S$▫. Predpostavka o končni razsežnosti ▫$S$▫ je v splošnem potrebna. Za nekatere pomembne funkcijske identitete pokažemo, da imajo samo standardne rešitve tudi brez te predpostavke.
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