This article is cited in 4 papers

Boolean lattices of $n$-multiply $\Omega$-bicanonical Fitting classes

O. V. Kamozina


Abstract: We describe the $n$-multiply $\Omega$-bicanonical Fitting classes with Boolean lattice of Fitting subclasses. In particular, it is shown that in this case a Fitting class is directly decomposable with the use of the set of all atoms of its lattice. Here the notion of a direct decomposition plays the key role. Therefore we study direct decompositions separately and consider $\Omega$-foliated Fitting classes with more general directions.

UDC: 512.542

Received: 27.11.2001
Revised: 12.02.2002

DOI: 10.4213/dm253

 English version: Discrete Mathematics and Applications, 2002, 12:5, 483–489

Bibliographic databases:

• 
•