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STOCK PLANS AND STOCK-BASED COMPENSATION (Detail Textuals)	6 Months Ended
	Sep. 30, 2017
1998 Stock Option Plan ("1998 Plan")
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment award description	In July 1998, shareholders of the Company approved the adoption of the 1998 Stock Option Plan ("1998 Plan"). The 1998 Plan was effective October 1998 and expired in October 2008.
2003 Stock Option Plan ("2003 Plan")
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based payment award description	In July 2003, shareholders of the Company approved the adoption of the 2003 Stock Option Plan ("2003 Plan"). The 2003 Plan was effective in July 2003 and expired in July 2013.

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- Definition

General descriptive information regarding an arrangement under which employees and directors receive: (a) awards of equity shares, equity share options, or other equity instruments; or (b) the entity incurs liabilities to them: (1) in amounts based, at least in part, on the price of the entity's shares or other equity instruments; or (2) that require or may require settlement by issuance of the entity's shares. Such an arrangement is usually provided to employees and directors to compensate them, provide performance incentives to them, and to attract or retain their services. May also include pertinent information particular to a plan that is not elsewhere specified in the taxonomy.

+ References

Reference 1: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 2
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5070-113901

Reference 2: http://www.xbrl.org/2003/role/presentationRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (a)
-URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5047-113901

+ Details

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Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- 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

No definition available.

+ Details

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

X

- Details

Name:	us-gaap_PlanNameAxis=rvsb_N1998StockOptionPlanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_PlanNameAxis=rvsb_N2003StockOptionPlanMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: