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Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
3
votes
Accepted
Name of a lattice-property
Faigle and Herrmann call them point-lattices. They are useful in the modular, algebraic case
(Faigle embedding theorem) and also more generally in the (strongly) semi-modular algebraic
case (generaliz …
2
votes
Product-decomposition of distributive lattices
The following can surely be found in Birkoff, lattice theory. Almost surely also in Gratzer.
The decompositions of a poset in finite direct products are the same as the
"partitions of unity" in a ce …