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Uma propriedade das álgebras de Grassmann não-unitárias sobre um corpo de característica prima e suas aplicações
[thesis]
|❡s✉♠♦ ❙❡•❛ K ✉♠ ❝♦r♣♦ ❞❡ ❝❛r❛❝t❡ríst✐❝❛ p > 2✳ ❙❡•❛♠ H ❛ á•❣❡❜r❛ ❞❡ •r❛ss♠❛♥♥ ♥ã♦✲ ✉♥✐tár✐❛ ❞❡ ❞✐♠❡♥sã♦ ✐♥✜♥✐t❛ ❡ H n ❛ á•❣❡❜r❛ ❞❡ •r❛ss♠❛♥♥ ♥ã♦ ✉♥✐tár✐❛ ❞❡ ✉♠ ❡s♣❛ç♦ ✈❡t♦r✐❛• ❞❡ ❞✐♠❡♥sã♦ ✜♥✐t❛ n✱ ❛♠❜❛s s♦❜r❡ K✳ ❲❡ st✉❞② ❛•s♦ t❤❡ ✐♥✜♥✐t❡ ❞✐♠❡♥s✐♦♥❛• ✉♥✐t❛r② •r❛ss♠❛♥♥ ❛•❣❡❜r❛ E ♦✈❡r ❛ ✜♥✐t❡ ✜❡•❞✳ ▲❡t K ❜❡ ❛ ✜♥✐t❡ ✜❡•❞ ❛♥❞ K 1 X t❤❡ ✉♥✐t❛r② ❛ss♦❝✐❛t✐✈❡ ❢r❡❡ ❛•❣❡❜r❛✱ ❢r❡❡•② ❣❡♥❡r❛t❡❞ ❜② X✳ ❲❡ ❣✐✈❡ ❛ r❡♣r❡s❡♥t❛t✐♦♥ ♦❢ K 1 X /T (E) ❛s ❛ t❡♥s♦r ♣r♦❞✉❝t ♦❢ t❤❡ ❝♦♠♠✉t❛✲ t✐✈❡ ❛•❣❡❜r❛ A = K[t i |i ∈
doi:10.26512/2016.06.t.21385
fatcat:4id6f52pivcf7miisprai34zdy