"-R" = Reserve

Løjtnant = Captain or Lieutenant

It depends on the branch of service. The naval service differs from the other branches of the armed forces.

This looks like it is from a C.V./resume or a bio.

For these type of documents/texts in the U.S. at least the protocol is to give the name of the individual followed by the notation of "Lieutenant, U.S. Army/Marine Corps/Air Force Reserve" or "Captain, U.S. Navy/Coast Guard Reserve."

Here's an example but the rank is different:

http://www.arlingtoncemetery.net/uscg.htm

Nida Glick, Lieutenant Commander, USCG Reserve


The Canadian military has close ties to the American military both being in North America, members of NATO etc., but that is by no means the only military relationship or tradition in Canada. The protocol would naturally be different there.

See also:


polisci.msu.edu/downloads/vita/Abramson%20CV%2010.doc

Promoted to Captain, U.S. Army Reserves, 1966



http://www.arlingtoncemetery.net/jagraha.htm

He was discharged from the Marine Corps Reserve in order to accept a commission in the Marine Corps, September 30, 1963. He attended Officers Candidate School, USMC Schools, Quantico, Virginia, and was commissioned a Second Lieutenant, November 1, 1963


http://blog.cleveland.com/metro/2009/08/us_navy_reserve_capt...

U.S. Navy Reserve Capt. Greg Miller, 48, of Berea, recently walked through the cemetery after meeting with Libyan officials



See this link for Officer rank conversion between land, air and naval forces - Captain = Lieutenant; land and air forces v. naval forces (Navy, Coast Guard):

http://afreserve.com/images/rank/officer_navy_lt_3.png


Comparative table of ranks for the different branches of the U.S. military forces:


http://nutmeg.easternct.edu/~pocock/ranks.htm

O-3 Captain Captain Captain Lieutenant
O-2 1st Lieutenant 1st Lieutenant 1st Lieutenant Lieutenant, Junior Grade
O-1 2nd Lieutenant 2nd Lieutenant 2nd Lieutenant Ensign
Warrant Officers


Wiki on the difference between the Regular Army and Reserve Army Ranks for the U.S.:


http://en.wikipedia.org/wiki/Regular_Army_(United_States)


After the demobilization of the Army of the United States in 1946, the United States Army was divided into the Regular Army (RA) and the Army Reserve (USAR). ... Since the Vietnam War officers' permanent rank is their RA rank. Active duty officers can hold an RA commission and rank and may also hold a higher rank with a USAR commission. Reserve officers hold only a USAR commission, but may serve in either the reserve component or on active duty. That is, all non-permanent ranks (including theater rank, temporary rank, battlefield promotions, etc.) are handled through USAR commissions. Those officers without RA commissions do not have a permanent rank.

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Canada probably shows a similar dynamic in play.

And it all depends on your target audience.

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Note added at 16 hrs (2010-03-21 23:49:35 GMT)
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Denmark follows NATO ranks -

http://en.wikipedia.org/wiki/Ranks_and_insignia_of_NATO


Navies - Armies - Air Forces

Lieutenant - Captain - Flight Lieutenant
Sub Lieutenant - Lieutenant - Flying Officer


It could be either one of these two instances of "Lieutenant," army or navy.

Your term says "Certificate of Training" so I'd go for "Lieutenant, Reserve" or "Lieutenant, Res."

"Lieutenant, Reserve" / "Lieutenant, Res." is a title format you could see written on a certificate or a c.v., with Reserve / Res. capitalized. Just forgo the branch of service if there is none mentioned. "Lieutenant in the reserves" sounds more like something we would say when we are talking about someone or read in a story written about someone - she was a "Lieutenant in the reserves," or a bio or speech, "X, a Lieutenant in the reserves,..." etc.

I wouldn't rule out that it could even be something different like police, fire department official or maybe even some public health official with a rank since there is no context.

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Note added at 22 hrs (2010-03-22 05:06:59 GMT)
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A historical reference for Sub-Lieutenant (res.) -

http://forum.axishistory.com/viewtopic.php?f=59&t=160168&sta...


Re: Finnish Navy

19 Nov 2009, 19:19
HERLEVI, Heikki Johannes
Born 2.6.1916 in Kokkola

Ranks
Sub-Lieutenant (res.) 1935
Sub-Lieutenant 1937
Lieutenant 1939
Lieutenant-Commander 1942



List of FDNY - Fire Department City of New York - Line of Duty Deaths:

http://nyfd.com/history/line_of_duty6.html

# RONALDSON ALFRED E. FIREMAN RES. 3 3/5/91
# DORE THOMAS R. LIEUTENANT RES. 4 6/4/55
# WILLIAMS THOMAS A. LIEUTENANT RES. 4 2/25/92
# MCLAUGHLIN PETER F. FIREMAN RES. 4 10/8/95

- There are many deaths listed here and a number of them are of the reserve members of the FDNY including some with the rank "LIEUTENANT RES." others have designations differing from RES.


http://www.bestsampleresume.com/find-firefighter-jobs.html

# Reserve Firefighter Job in 911hotjobs [Lyon County, NV] - more details...

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Note added at 22 hrs (2010-03-22 05:28:23 GMT)
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http://en.wikipedia.org/wiki/Danish_Defence

Active personnel 25,000
Reserve personnel 12,000 + 51,000 volunteers in the Home Guard



http://en.wikipedia.org/wiki/Danish_Army

Country Denmark
Size Regular Army Active: 10,560

Regular Army Reserve: 4,070

Conscripts Active: 2,150

Conscripts Reserve: 12,000

Army personal in the joint services: 2,300[2]