Distributive Ockham algebras: free algebras and injectivity
نویسندگان
چکیده
منابع مشابه
Complemented congruences on Ockham algebras
An Ockham algebra L = (L,∧,∨, f, 0, 1) that satisfies the identity f2n+m = fm, n ∈ N and m ∈ N0, is called a Kn,m-algebra. Generalizing some results obtained in [2], J. Varlet and T. Blyth, in [3, Chapter 8], study congruences on K1,1-algebras. In particular, they describe the complement (when it exists) of a principal congruence and characterize these congruences that are complemented. In this...
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 ...
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 کاملOn reductive and distributive algebras
The paper investigates idempotent, reductive, and distributive groupoids, and more generally Ω-algebras of any type including the structure of such groupoids as reducts. In particular, any such algebra can be built up from algebras with a left zero groupoid operation. It is also shown that any two varieties of left k-step reductive Ω-algebras, and of right n-step reductive Ω-algebras, are indep...
متن کاملDual Banach algebras: representations and injectivity
We study representations of Banach algebras on reflexive Banach spaces. Algebras which admit such representations which are bounded below seem to be a good generalisation of Arens regular Banach algebras; this class includes dual Banach algebras as defined by Runde, but also all group algebras, and all discrete (weakly cancellative) semigroup algebras. Such algebras also behave in a similar way...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1981
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700007577