Integrative Levels Classification project ILC2 developing schedules how it works builder meetings people references
ILC class ag

ILC developing version
Expanded class ag

   ▲  broader class

▽ ⌕         ag       operations; transformations; maps; morphisms
▽ ⌕         ag6   [ag6]            operation property
▽ ⌕         ag6i                 associative
▽ ⌕         ag6m                 commutative
▽ ⌕         ag6p                 idempotent
▽ ⌕         ag96   [a]                equal to result
▽ ⌕         ag98   [a]                of operand
▽ ⌕         ag98kc                           vector spaces
▽ ⌕         ag98kt                           topological spaces; continous functions
▽ ⌕         ag98lt                           categories; functors
▽ ⌕         agh            homomorphisms
▽ ⌕         agh98   [a]                     of structure
▽ ⌕         agh98lmm                                     monoids
▽ ⌕         agh98lo                                groups
▽ ⌕         agh98lr                                rings
▽ ⌕         agh98me                                order homomorphisms; order-preserving functions
▽ ⌕         agh98mr                                graphs
▽ ⌕         agh98msm                                     matroids
▽ ⌕         aghe                 epimorphisms; surjective morphisms
▽ ⌕         aghi                 monomorphisms; injective morphisms
▽ ⌕         aghm                 isomorphisms; bijective morphisms  ← aghe epimorphisms aghi monomorphisms
▽ ⌕         aghn                 endomorphisms
▽ ⌕         aghu                 automorphisms  ← aghm isomorphisms aghn endomorphisms
▽ ⌕         agm            sum; union; addition
▽ ⌕         agm96   [a]                     equal to sum
▽ ⌕         agm98   [a]                     of term; addend; summand
▽ ⌕         agm98kt                                topological spaces; topologies
▽ ⌕         agm98me                                posets
▽ ⌕         agm98msm                                     matroids
▽ ⌕         agm98n                           quantities; numbers
▽ ⌕         agm98nnr98nnq96nnt   ⋄                                                                                      2 + 3 = 5
▽ ⌕         agmd                 disjoint union
▽ ⌕         agmo                 ordinal sum
▽ ⌕         agn            difference; complement; subtraction  ✍
▽ ⌕         agn96   [a]                     equal to difference
▽ ⌕         agn98   [a]                     of minuend
▽ ⌕         agn983   [a]                          minus subtrahend
▽ ⌕         agn98n                           quantities; numbers
▽ ⌕         agn98nnt983nnq96nnr   ⋄                                                                                           5 - 2 = 3
▽ ⌕         agns                 symmetric difference; exclusive or; xor
▽ ⌕         ago            direct-like operations
▽ ⌕         agom                 direct sum
▽ ⌕         agom98   [a]                          of structure
▽ ⌕         agom98kc                                     vector spaces
▽ ⌕         agom98msm                                          matroids
▽ ⌕         agop                 direct product
▽ ⌕         agop98   [a]                          of structure
▽ ⌕         agop98lmm                                          monoids
▽ ⌕         agop98lo                                     groups
▽ ⌕         agop98lt                                     categories
▽ ⌕         agp            product; intersection
▽ ⌕         agp98   [a]                     of factor
▽ ⌕         agp98n                           quantities; numbers
▽ ⌕         agp98nnr98nnq96nnu   ⋄                                                                                      3 x 2 = 6
▽ ⌕         agpc                 Cartesian product; cross product
▽ ⌕         agpc98   [a]                          of structure
▽ ⌕         agpc98kt                                     topological spaces; Cartesian topologies
▽ ⌕         agpc98me                                     posets
▽ ⌕         agpc98mr                                     graphs
▽ ⌕         agpe                 semidirect product
▽ ⌕         agq            quotient; division; partition
▽ ⌕         agqe                 Euclidean division; division with remainder
▽ ⌕         agqe96   [an]                          equal to quotient
▽ ⌕         agqe966   [an]                               with remainder
▽ ⌕         agqe98   [an]                          of dividend
▽ ⌕         agqe983   [an]                               by divisor
▽ ⌕         agqe98oss983nr   ⋄                                                                  44 / 3
▽ ⌕         agqs                 quotient structure
▽ ⌕         agqs98   [a]                          of
▽ ⌕         agqs98kt                                     topological spaces; topologies
▽ ⌕         agt            tensor-like operations
▽ ⌕         agtp                 tensor product
▽ ⌕         agtp98   [a]                          of structure
▽ ⌕         agtp98mr                                     graphs
▽ ⌕         agu            lexicographic product
▽ ⌕         agu98   [a]                     of structure
▽ ⌕         agu98mr                                graphs
▽ ⌕         agw            exponentiation; power
▽ ⌕         agw98   [a]                     of base
▽ ⌕         agw983   [a]                          raised to the power exponent
▽ ⌕         agw98n                           quantities; numbers
▽ ⌕         agw98nnq983nnr96nnw   ⋄                                                                                           23 = 8
▽ ⌕         agx            nth root
▽ ⌕         agx983   [a]                          -th
▽ ⌕         agx983nnq                                          square
▽ ⌕         agx983nnr                                          cube
▽ ⌕         agx98nnx983nnq96nnr   ⋄                                                                                           √9 = 3
▽ ⌕         agy            logarithm
▽ ⌕         agy98   [a]                     of
▽ ⌕         agy983   [a]                          to; base
▽ ⌕         agy983nnq                                          2; binary logarithm
▽ ⌕         agy983nnqU                                               e; natural logarithm
▽ ⌕         agy983nop                                          10; common logarithm
▽ ⌕         agy98nous983nnq96nnu   ⋄                                                                                                log264 = 6
 
Connected classes:
 
 5  [X] transformation; change; process; mechanism; dynamics  ← ag cp 
 519            development; evolution; history  ← ag 
 a58  [ag]           through transformation; operation; function; map; morphism
 ag6  [ag6]            operation property
 aghm                isomorphisms; bijective morphisms  ← aghe aghi 
 aghu                automorphisms  ← aghm aghn 
 amr5Df                          strong product of graphs  ← agp 
 amr5Dg                          zigzag product of graphs  ← agp 
 amr5Dh                          rooted product of graphs  ← agp 

specificity 
current: 99 

   
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ILC developing version — ISKO Italia <https://www.iskoi.org/ilc/> : 2006.03.06 - 2026.05.14 -