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ALLOWANCE FOR LOAN LOSSES - Analysis of loans by aging category (Details) - USD ($) $ in Thousands	12 Months Ended
	Mar. 31, 2020	Mar. 31, 2019	Mar. 31, 2018
Allowance for unfunded loan commitments
Beginning balance	$ 469	$ 480	$ 388
Net change in allowance for unfunded loan commitments	5	(11)	92
Ending Balance	$ 474	$ 469	$ 480

X

- Definition

Represents the allowance for unfunded loan commitments as of the indicated date.

+ References

No definition available.

+ Details

Name:	rvsb_AllowanceForUnfundedLoanCommitments
Namespace Prefix:	rvsb_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

X

- Definition

Represents the change in the allowance for unfunded loan commitments during the indicated period.

+ References

No definition available.

+ Details

Name:	rvsb_ChangeInAllowanceForUnfundedLoanCommitments
Namespace Prefix:	rvsb_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

+ References

No definition available.

+ Details

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