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Investments - Schedule of securities at acquisition reconciliation between purchase price and par value (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2024 | Sep. 30, 2023
Investments, Debt and Equity Securities [Abstract] |  |  |  |
Par | $ 0 | $ 11,962 | $ 0 | $ 14,013
Premium | 0 | (3,225) | 0 | (2,262)
Purchase price | $ 0 | $ 8,737 | $ 0 | $ 11,751

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- Definition Beneficial interest purchase price + References No definition available. + Details
Name: | ajx_BeneficialInterestPurchasePrice
Namespace Prefix: | ajx_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Par value at acquisition + References No definition available. + Details
Name: | ajx_ParValueAtAcquisition
Namespace Prefix: | ajx_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

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- Definition Premium (Discount) at acquisition + References No definition available. + Details
Name: | ajx_PremiumDiscountAtAcquisition
Namespace Prefix: | ajx_
Data Type: | xbrli:monetaryItemType
Balance Type: | credit
Period Type: | duration

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