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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

X

- 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

X

- 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

X

- 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

X

- References

No definition available.

+ Details

Name:	us-gaap_InvestmentsDebtAndEquitySecuritiesAbstract
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration