On generalized circulants over a Boolean algebra
โ Scribed by Chong-Yun Chao; Mou-Cheng Zhang
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 740 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
We investigate certain pure injective modules over generalised Weyl algebras. We consider pure injective hulls of finite length modules, the elementary duals of these, torsionfree pure injective modules, and the closure in the Ziegler spectrum of the category of finite length modules supported on a
I ) The second author's contribution to the paper comes out of his Ph. D. dissertation written 21' under the supervision of Prof. TAKEUTI to whom the author is grateful. Math. (2) 94 (1971), 201 -245.
We show that for every uncountable regular K and every K-complete Boolean algebra B of density 5 K there is a filter F B such that the number of partitions of length < K modulo F is 5 2'". We apply this to Boolean algebras of the form P ( X ) / I , where I is a n-complete K-dense ideal on X .