Definition of Subdirect. Meaning of Subdirect. Synonyms of Subdirect

Here you will find one or more explanations in English for the word Subdirect. Also in the bottom left of the page several parts of wikipedia pages related to the word Subdirect and, of course, Subdirect synonyms and on the right images related to the word Subdirect.

Definition of Subdirect

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Meaning of Subdirect from wikipedia

- 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...
- 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...
- 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...
- (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...