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Liability Related to the Sale of Future Proceeds from Disposition of Subsidiary (Details) - Schedule of activity within the liability account - Subsidiary [Member] - USD ($) | 12 Months Ended
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Dec. 31, 2021 | Dec. 31, 2020
Liability Related to the Sale of Future Proceeds from Disposition of Subsidiary (Details) - Schedule of activity within the liability account [Line Items] |  |
Liabilities related to sale of future proceeds from disposition of subsidiaries - beginning balance | $ 322,000 | $ 602,000
Non-Cash other income recognized | (360,000) | (402,000)
Non-Cash interest expense recognized | 97,000 | 122,000
Liabilities related to sale of future proceeds from disposition of subsidiary - ending balance | 59,000 | 322,000
Less: unamortized transaction costs | (3,000) | (3,000)
Liability related to sale of future proceeds from disposition of subsidiary, net | $ 56,000 | $ 319,000

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- Definition Liabilities related to sale of future proceeds from disposition of subsidiaries &#8211; beginning balance. + References No definition available. + Details
Name: | airi_LiabilitiesRelatedToSaleOfFutureProceedsFromDispositioSubsidiaries
Namespace Prefix: | airi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | instant

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- Definition Liability related to sale of future proceeds from disposition of subsidiary, net. + References No definition available. + Details
Name: | airi_LiabilityRelatedToSaleOfFutureProceedsFromDispositionOfSubsidiaryNet
Namespace Prefix: | airi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | airi_LiabilityRelatedtotheSaleofFutureProceedsfromDispositionofSubsidiaryDetailsScheduleofactivitywithintheliabilityaccountLineItems
Namespace Prefix: | airi_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Non-Cash interest expense recognized. . + References No definition available. + Details
Name: | airi_NoncashInterestExpense
Namespace Prefix: | airi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Non-Cash other income recognized. + References No definition available. + Details
Name: | airi_NoncashOtherIncomeRecognized1
Namespace Prefix: | airi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- References No definition available. + Details
Name: | airi_TransactionCostsFromSaleOfFutureProceedsFromDispositionOfSubsidiary
Namespace Prefix: | airi_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Details
Name: | srt_ConsolidatedEntitiesAxis=srt_SubsidiariesMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |