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COMMITMENTS AND CONTINGENCIES (Detail Textuals)	9 Months Ended
	Dec. 31, 2017 USD ($)
Commitments and Contingencies Disclosure [Abstract]
Threshold limit for honoring of commitments	45 days
Commitments to sell	$ 1,600,000
Loans under warranty	118,600,000
Allowance for FHLMC loans	$ 13,000

X

- Definition

Represents amount of Allowance for FHLMC loans Federal Home Loan Mortgage Corporation.

+ References

No definition available.

+ Details

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

X

- Definition

Loans reflecting that if the underlying assets do not conform to the specifications, the Bank may have an obligation to repurchase the assets or indemnify the purchaser against loss.

+ References

No definition available.

+ Details

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

X

- Definition

Represent the threshold limit for honoring of commitments.

+ References

No definition available.

+ Details

Name:	rvsb_ThresholdLimitForHonoringOfCommitments
Namespace Prefix:	rvsb_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- References

No definition available.

+ Details

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

X

- Definition

Reflects the carrying amount of loans and leases for which agreements to acquire or dispose exist.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 825
-Section 50
-Paragraph 1
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=75032840&loc=d3e61044-112788

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 825
-Section 50
-Paragraph 2
-URI http://asc.fasb.org/extlink&oid=75032840&loc=d3e61082-112788

+ Details

Name:	us-gaap_LoansAndLeasesReceivableCommitmentsToPurchaseOrSell
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration