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Income Taxes (Details)	Sep. 30, 2024 entity
Income Tax Disclosure [Abstract]
Number of taxable subsidiaries	2

X

- Definition

Number of taxable subsidiaries

+ References

No definition available.

+ Details

Name:	ajx_NumberOfTaxableSubsidiaries
Namespace Prefix:	ajx_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- References

No definition available.

+ Details

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