Saturated normal sub-IAPS

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This term is related to: APS theory
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This article describes a property that can be evaluated for a sub-IAPS inside an IAPS of groups

ANALOGY: This is an analogue in IAPS of a property encountered in group. Specifically, it is a sub-IAPS property analogous to the subgroup property: normal subgroup
View other analogues of normal subgroup | View other analogues in IAPSs of subgroup properties (OR, View as a tabulated list)

Definition

A sub-IAPS $H$ of an IAPS of groups $(G,\Phi )$ is termed a saturated normal sub-IAPS if it is saturated and normal. Equivalently, the quotient APS is an IAPS of groups.

The correct analogue of normal subgroup in the category of IAPSes is that of a saturated normal sub-IAPS, because the quotient APS is actually an IAPS of groups.