ISSN 1683-3414 (Print)   •   ISSN 1814-0807 (Online)
   Log in
 

Contacts

Address: Vatutina st. 53, Vladikavkaz,
362025, RNO-A, Russia
Phone: (8672)23-00-54
E-mail: rio@smath.ru

 

 

 

ßíäåêñ.Ìåòðèêà

Dear authors!
Submission of all materials is carried out only electronically through Online Submission System in personal account.
DOI: 10.23671/VNC.2016.2.7390

Laterally complete \(C_\infty(Q)\)-modules

Chilin V. I. , Karimov J. A.
Vladikavkaz Mathematical Journal 2014. Vol. 16. Issue 2.
Abstract:
Let \(X\) be a regular laterally complete \(C_\infty(Q)\)-module and \(\mathcal{B}\) be a Boolean algebra whose Stone space is \(Q\). We introduce the passport\(\Gamma(X)\) for \(X\) consisting of uniquely defined partition of unity in  \(\mathcal{B}\) and set of pairwise different cardinal numbers. It is proved that \(C_\infty(Q)\)-modules \(X\) and \(Y\) are isomorphic if and only if \(\Gamma(X) = \Gamma(Y)\).
Keywords: Hamel \(C_\infty(Q)\)-basis, homogeneous module, \(\sigma\)-finite dimensional module
Language: Russian Download the full text  
For citation: Chilin V. I., Karimov J. A.  Laterally complete \(C_\infty(Q)\)-modules Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 16, no. 2, pp.69-78. DOI 10.23671/VNC.2016.2.7390
+ References


← Contents of issue
 
  | Home | Editorial board | Publication ethics | Peer review guidelines | Latest issue | All issues | Rules for authors | Online submission system’s guidelines | Submit manuscript |  
© 1999-2024 Þæíûé ìàòåìàòè÷åñêèé èíñòèòóò