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Organization (Details)	Dec. 31, 2023 a ft² property apartment
Office Building
Real Estate Properties [Line Items]
Number of real estate properties	4
Area of real estate property (in sq ft) | ft²	1,056,793
Apartment Building
Real Estate Properties [Line Items]
Number of real estate properties	14
Number of units in real estate property | apartment	2,328
Developed and Undeveloped Land
Real Estate Properties [Line Items]
Area of land (in acres) | a	1,843
Commercial Properties
Real Estate Properties [Line Items]
Number of real estate properties	3
ARL | Related party entities
Real Estate Properties [Line Items]
Ownership interest (as a percent)	90.00%
TCI
Real Estate Properties [Line Items]
Ownership interest (as a percent)	78.40%

X

- Definition

Area of land held.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
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Balance Type:	na
Period Type:	instant

X

- Definition

Area of a real estate property.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	dtr-types:areaItemType
Balance Type:	na
Period Type:	instant

X

- Definition

The parent entity's interest in net assets of the subsidiary, expressed as a percentage.

+ References

No definition available.

+ Details

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Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	instant

X

- Definition

The number of real estate properties owned as of the balance sheet date.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Definition

The number of units in a real estate property owned as of the balance sheet date.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

No definition available.

+ Details

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X

- Details

Name:	srt_MortgageLoansOnRealEstateDescriptionTypeOfPropertyAxis=srt_OfficeBuildingMember
Namespace Prefix:
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Balance Type:
Period Type:

X

- Details

Name:	srt_MortgageLoansOnRealEstateDescriptionTypeOfPropertyAxis=srt_ApartmentBuildingMember
Namespace Prefix:
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Balance Type:
Period Type:

X

- Details

Name:	srt_MortgageLoansOnRealEstateDescriptionTypeOfPropertyAxis=us-gaap_LandAndLandImprovementsMember
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X

- Details

Name:	srt_MortgageLoansOnRealEstateDescriptionTypeOfPropertyAxis=arl_CommercialPropertiesMember
Namespace Prefix:
Data Type:	na
Balance Type:
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X

- Details

Name:	srt_OwnershipAxis=arl_AmericanRealtyInvestorsIncMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	dei_LegalEntityAxis=arl_RelatedPartyEntitiesMember
Namespace Prefix:
Data Type:	na
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Period Type:

X

- Details

Name:	srt_OwnershipAxis=arl_TranscontinentalRealtyInvestorsIncMember
Namespace Prefix:
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Period Type: