engel samooh

ganit mein, ack jhooth samooh yaa ack jhooth beejganit key ack tatva "x" koo ack n "-angel tatva kahaa jaataa haye, jiska naam friedrich engel key naam parr rakhaa gayaa haye, yadi yeh n"-angel shart koo santusht kartaa haye kii baar-baar commutator [...[["x", "y", "y",]. ..," y "" kii "n" pratiyon key saath "y" "tuchchh haye (jahan [" x "," y "] kaa arth haye" xyx "−1" y "−1 yaa [[jhooth bracket]]). ise ack injan tatva kahaa jaataa haye yadi yeh [[injan pehchaan] koo santusht kartaa haye..engel shart] kii yeh kuchh "aine" key liye "aine"-engel haye.
ack jhooth samooh yaa jhooth beejganit koo angreji yaa aine "-engel sharton koo santusht karane key liye kahaa jaataa haye yadi pratyek tatva kartaa haye. aise samoohon yaa algebra koo engel samooh, aine "-angel samooh, engel algebra aur aine"-angel algebra kahaa jaataa haye.
pratyek [[neelpotent samooh]] yaa jhooth beejganit engel haye. [[engel kii pramey]] bataati haye kii pratyek parimit-ayami engel beejganit nilpotent haye. gair-neelpotent engel samoohon aur algebra key udaaharan diye.
notes.
[[vargah samooh siddhant]]
[[vargah jhooth key algebra]]

