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ALLOWANCE FOR LOAN LOSSES - Analysis of loans by aging category (Details) - USD ($) $ in Thousands | 12 Months Ended
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Mar. 31, 2021 | Mar. 31, 2020 | Mar. 31, 2019
Allowance for unfunded loan commitments |  |  |
Beginning balance | $ 474 | $ 469 | $ 480
Net change in allowance for unfunded loan commitments | 35 | 5 | (11)
Ending Balance | $ 509 | $ 474 | $ 469

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- 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

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- 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

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- 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