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- topology. Every Heyting algebra whose set of non-greatest elements has a greatest element (and forms another Heyting algebra) is subdirectly irreducible, whence...44 KB (6,243 words) - 23:11, 24 September 2024
- subdirect decomposition property: Every MTL-algebra is a subdirect product of linearly ordered MTL-algebras. (A subdirect product is a subalgebra of the...23 KB (3,718 words) - 12:14, 18 October 2024
Prüfer group (section Constructions of Z(p∞))subgroups). More is true: the Prüfer p-groups are subdirectly irreducible. An abelian group is subdirectly irreducible if and only if it is isomorphic to...8 KB (1,137 words) - 01:57, 7 December 2023
Projective space (redirect from Projective space over a division algebra)formulation in terms of lattice theory. There is a bijective correspondence between projective spaces and geomodular lattices, namely, subdirectly irreducible...37 KB (5,670 words) - 12:20, 2 September 2024- Real closed ring (category Real algebraic geometry)commutative ring A that is a subring of a product of real closed fields, which is closed under continuous semi-algebraic functions defined over the integers...11 KB (1,604 words) - 12:13, 8 July 2021
- prove the equivalence between subdirect products and fiber products. Specifically, every subdirect product is a fiber product and vice versa. For this we