Subdirectly Irreducible Quotients

Some articles on subdirectly, subdirectly irreducible quotients, irreducible, quotients, quotient:

Subdirectly Irreducible Algebra - Properties
... of universal algebra states that every algebra is subdirectly representable by its subdirectly irreducible quotients ... An equivalent definition of "subdirect irreducible" therefore is any algebra A that is not subdirectly representable by those of its quotients not isomorphic to A ... This is not quite the same thing as "by its proper quotients" because a proper quotient of A may be isomorphic to A, for example the quotient of the semilattice (Z, min) obtained by identifying just the ...

Famous quotes containing the word irreducible:

    If an irreducible distinction between theatre and cinema does exist, it may be this: Theatre is confined to a logical or continuous use of space. Cinema ... has access to an alogical or discontinuous use of space.
    Susan Sontag (b. 1933)