Definition of Subdirect. Meaning of Subdirect. Synonyms of Subdirect

- surjective. A direct (subdirect) representation of an algebra A is a direct (subdirect) product isomorphic to A. An algebra is called subdirectly irreducible if...
- actually the coproduct in the category of groups. If G and H are groups, a subdirect product of G and H is any subgroup of G × H which maps surjectively onto...
- and only if it is a subdirect product of left primitive rings. A commutative ring is semiprimitive if and only if it is a subdirect product of fields,...
- applications), a subdirectly irreducible algebra is an algebra that cannot be factored as a subdirect product of "simpler" algebras. Subdirectly irreducible...
- directly irreducible and subdirectly irreducible rings play a role in the general theory of structure for rings. Subdirectly irreducible algebras have...
- A_{12})\rtimes \mathbb {Z} _{2}).} This group can also be described as the subdirect product [ ( Z 3 7 ⋊ S 8 ) × ( Z 2 11 ⋊ S 12 ) ] 1 2 {\displaystyle [(\mathbb...
- that every distributive lattice is a subdirect product of copies of the two-element chain, or that the only subdirectly irreducible member of the class of...
- (and forms another Heyting algebra) is subdirectly irreducible, whence every Heyting algebra can be made subdirectly irreducible by adjoining a new greatest...
- generalizes the semidirect product Holomorph Lie algebra semidirect sum Subdirect product Wreath product Zappa–Szép product Crossed product The symbol ⋊...
- rings are unit regular. Every strongly von Neumann regular ring is a subdirect product of division rings. In some sense, this more closely mimics the...