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Liability Related to the Sale of Future Proceeds from Disposition of Subsidiary (Details) - USD ($) | 3 Months Ended | 9 Months Ended
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Sep. 30, 2019 | Sep. 30, 2019
Liability Related To Sale Of Future Proceeds From Disposition Of Subsidiary Details Abstract |  |
Liabilities related to sale of future proceeds from disposition of subsidiaries - beginning balance |  |
Cash received from sale of future proceeds from disposition of subsidiary |  | 800,000
Non-Cash other income recognized | $ (89,000) | (198,000)
Non-Cash interest expense recognized | 27,000 | 60,000
Liabilities related to sale of future proceeds from disposition of subsidiary - ending balance | $ 662,000 | 662,000
Less: unamortized transaction costs |  | (3,000)
Liability related to sale of future proceeds from disposition of subsidiary, net |  | $ 659,000

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

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

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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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- 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_NoncashOtherIncomeRecognized
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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- Definition The cash inflow from the issuance of common stock, preferred stock, treasury stock, stock options, and other types of equity. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 14 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=118932676&loc=d3e3255-108585 + Details
Name: | us-gaap_ProceedsFromIssuanceOrSaleOfEquity
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration