Engineering↗
Ring Homomorphisms, Kernels, Images and Quotient Rings
Homomorphisms preserve ring structure. Their kernels are ideals, their images are subrings, and quotient rings provide the universal mechanism for collapsing exactly the informa…
Tag
congruence
Every page in the KEVOS library tagged congruence. 3 pages.
Engineering↗
Congruences and Quotient Algebras
Congruences as equivalence relations compatible with the operations, the construction of quotient algebras, and why congruences rather than subobjects are the general quotient d…
Engineering↗
Equivalence Relations and the Partition Lattice
The lattice of equivalence relations on a set, its identification with the partition lattice, why joins require alternating composites, and permutability as the condition that m…
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