We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
ALGEBRAS WITH INNER MB-REPRESENTATION.
- Authors
Balcerzak, Marek; Bartoszewicz, Artur; Ciesielski, Krzysztof
- Abstract
We investigate algebras of sets, and pairs (A, I) consisting of an algebra A and an ideal I ⊂ A, that possess an inner MB-representation. We compare inner MB-representability of (A,I) with several properties of (A,I) considered by Baldwin. We show that A is inner MB-representable if and only if A = S(A\H(A)), where S(⋅) is a Marczewski operation defined below and H consists of sets that are hereditarily in A. We study the question of uniqueness of the ideal in that representation.
- Subjects
REPRESENTATIONS of algebras; GROUP algebras; SET theory; ALGEBRA; BINARY number system
- Publication
Real Analysis Exchange, 2003, Vol 29, Issue 1, p265
- ISSN
0147-1937
- Publication type
Article