On the Arens Homomorphism
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, cilt.56, sa.2, ss.144-151, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 56 Sayı: 2
- Basım Tarihi: 2022
- Doi Numarası: 10.1134/s0016266322020083
- Dergi Adı: FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, MathSciNet, zbMATH
- Sayfa Sayıları: ss.144-151
- Anahtar Kelimeler: Riesz space, orthomorphism, f-module, Arens homomorphism
- Gazi Üniversitesi Adresli: Evet
Özet
Let E be a unital f-module over an f-algebra A. With the help of Arens extension theory, a (A(similar to))(n)(similar to)module structure on E-similar to can be defined. The paper deals mainly with properties of the Arens homomorphism eta: (A(similar to))(n)(similar to) -> Orth(E-similar to), which is defined by the (A(similar to))(n)(similar to) module structure on E-similar to. Necessary and sufficient conditions for an A submodule of E to be an order ideal are obtained.