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EMPLOYEE BENEFIT PLANS - Employee stock ownership plan (Details) | 12 Months Ended
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Mar. 31, 2021 USD ($) item shares | Mar. 31, 2020 USD ($) item shares | Mar. 31, 2019 USD ($) item shares
Employee stock ownership plan [Abstract] |  |  |
Number of hours of service | item | 1,000 | 1,000 | 1,000
Bank purchased common stock on open market and contributed such shares to ESOP | 5,354 | 43,545 | 25,000
Unreleased ESOP shares to participants |  | 19,000 |
Employee Stock Ownership Plan compensation expense | $ | $ 96,000 | $ 195,000 | $ 197,000
Shares released and allocated to participants | 394,316 | 410,045 |

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- References No definition available. + Details
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Namespace Prefix: | rvsb_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

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- Definition Represents number hours of services. + References No definition available. + Details
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Namespace Prefix: | rvsb_
Data Type: | xbrli:integerItemType
Balance Type: | na
Period Type: | instant

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- Definition Represents number of share related to esop. + References No definition available. + Details
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Namespace Prefix: | rvsb_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition The amount of plan compensation cost recognized during the period. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 40 -Section 50 -Paragraph 1 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=109244661&loc=d3e17540-113929 + Details
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- Definition The shares that, although not legally released, will be released by a future scheduled and committed debt service payment and will be allocated to employees for service rendered in the current accounting period. The ESOP documents typically define the period of service to which the shares relate. ESOP shares are released to compensate employees directly, to settle employer liabilities for other employee benefits, and to replace dividends on allocated shares that are used for debt service. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 40 -Section 50 -Paragraph 1 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=109244661&loc=d3e17540-113929 + Details
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Balance Type: | na
Period Type: | instant

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- Definition Sum of the allocated, committed-to-be-released and suspense shares of the entity held by the plan. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 40 -Section 50 -Paragraph 1 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=109244661&loc=d3e17540-113929 + Details
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Period Type: | instant