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math.CT2011
The Dickson Subcategory Splitting Conjecture for Pseudocompact Algebras
M. C. Iovanov, Constantin Nastasescu, Blas Torrecillas-Jover
Let be a pseudocompact (or profinite) algebra, so where is a coalgebra. We show that the if the semiartinian part (the "Dickson" part) of every -module split…
math.CT2006
Relative Regular Objects in Categories
S. S. Dăscălescu, C. Năstăsescu, A. Tudorache +1
We define the concept of a regular object with respect to another object in an arbitrary category. We present basic properties of regular objects and we study this concept in the s…