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**Example text**

53) which actually characterise preari. Adjoint actions We shall require the adjoint actions, adgari and adari, of GARI on GARI and ARI respectively. 60) infra. , r = 0 unless 0 = v1 = · · · = vr . e. such that M ∅ = 0. Here, however, only B • is in ARI, whilst A• is in GARI and therefore A∅ = 1. 46). e. such that S ∅ = 1. Here, i 1 2 however, only S2• := A• is in GARI, whilst S1• := preari(A• , B • ) is in ARI and therefore S1∅ = 0. S2• ). 56), it should be noted that adari(A• ) is an automorphisms of ARI but not of PREARI.

6 Dimorphic isomorphisms in universal mode . . 7 Dimorphic isomorphisms in polar mode . . . Singulators, singulands, singulates . . . . . . 1 Some heuristics. 2 Universal singulators senk(ess• ) and seng(es• ) . 3 Properties of the universal singulators . . . 4 Polar singulators: description and properties . . 5 Simple polar singulators . . . . . . . 6 Composite polar singulators . . . . . . 7 From al/al to al/il. Nature of the singularities . A natural basis for ALIL ⊂ ARI al/il .

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