Projective distributive p-algebras
نویسندگان
چکیده
منابع مشابه
On the Relationship between Projective Distributive Lattices and Boolean Algebras
The main result of this paper is the following theorem: If a projective Boolean algebra B is generated by its sublattice L, then there is a projective distributive lattice D which is a sublattice of L and generates B.
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A (distributive) p-algebra is an algebra 〈L;∨,∧, ∗, 0, 1〉 whose reduct 〈L;∨,∧, 0, 1〉 is a bounded (distributive) lattice and whose unary operation ∗ is characterized by x ≤ a if and only if a ∧ x = 0. If L is a p-algebra, B(L) = { x ∈ L : x = x } and D(L) = { x ∈ L : x = 1 } then 〈B(L);∪,∧, 0, 1〉 is a Boolean algebra when a ∪ b is defined to be (a∗ ∧ b∗)∗, for any a, b ∈ B(L), D∗(L) = { x ∨ x∗ ...
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In this paper we define an order structure on the $p$-operator projective tensor product of Herz algebras and we show that the canonical isometric isomorphism between $A_p(Gtimes H)$ and $A_p(G)widehat{otimes}^p A_p(H)$ is an order isomorphism for amenable groups $G$ and $H$.
متن کاملLeft-distributive Embedding Algebras
We consider algebras with one binary operation and one generator, satisfying the left distributive law a (b c) = (a b) (a c); such algebras have been shown to have surprising connections with set-theoretic large cardinals and with braid groups. One can construct a sequence of nite left-distributive algebras An, and then take a limit to get an in nite left-distributive algebra A1 on one generato...
متن کاملFinite Left{distributive Algebras and Embedding Algebras
We consider algebras with one binary operation and one generator (monogenic) and satisfying the left distributive law a (b c) = (a b) (a c). One can de ne a sequence of nite left-distributive algebras An, and then take a limit to get an in nite monogenic left-distributive algebra A1. Results of Laver and Steel assuming a strong large cardinal axiom imply that A1 is free; it is open whether the ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1981
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700007632