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 ...
... 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)
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