The maximum number of shares in a Tender Offer.

No definition available.

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Namespace Prefix:	ior_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of shares authorized to be purchased under share repurchase plan. Includes, but is not limited to, repurchase of stock and unit of ownership.

+ References

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Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- 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

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+ Details

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Balance Type:	na
Period Type:	duration

- Definition

Amount of paid and unpaid common stock dividends declared with the form of settlement in cash, stock and payment-in-kind (PIK).

+ References

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+ Details

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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

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

- Definition

Cash received on stock transaction after deduction of issuance costs.

+ References

No definition available.

+ Details

Name:	us-gaap_SaleOfStockConsiderationReceivedOnTransaction
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

- Definition

The number of shares issued or sold by the subsidiary or equity method investee per stock transaction.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Definition

Per share or per unit amount of equity securities issued.

+ References

No definition available.

+ Details

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

- Definition

Number of shares remaining authorized to be purchased under share repurchase plan. Includes, but is not limited to, repurchase of stock and unit of ownership.

+ References

No definition available.

+ Details

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

- Definition

Number of shares that have been repurchased during the period and are being held in treasury.

+ References

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+ Details

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Period Type:	duration

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

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Balance Type:
Period Type:

- Details

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Period Type:

Stockholders Equity (Details Narrative) - USD ($)		11 Months Ended	12 Months Ended
Stockholders Equity (Details Narrative) - USD ($)	Jan. 29, 2025	Dec. 31, 2025	Dec. 31, 2025	Dec. 31, 2024	Dec. 31, 2023	Dec. 16, 2024
Class of Stock [Line Items]
Dividends on common stock			$ 0	$ 0	$ 0
Common stock repurchase limit		1,650,000	1,650,000
Remaining shares for repurchase		513,003	513,003
Transcontinental Realty Investors, Inc [Member]
Class of Stock [Line Items]
Number of shares acquired		32,845
Shares acquired		$ 583,000
Transcontinental Realty Investors, Inc [Member] \| IOR [Member]
Class of Stock [Line Items]
Percentage of ownership		84.60%	84.60%	83.20%
Tender Offer [Member] \| Transcontinental Realty Investors, Inc [Member] \| IOR [Member]
Class of Stock [Line Items]
Maximum number of shares in tender offer						100,000
Price per share						$ 18
Number of shares acquired	21,678
Percentage of ownership	83.70%
Common Stock [Member]
Class of Stock [Line Items]
Common stock repurchased				44,536	57,700