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07/04/11 10:16 PM ET

Rivera nursing sore right triceps

CLEVELAND -- The Yankees were operating Monday without the services of All-Star closer Mariano Rivera, who is receiving treatment for a sore right triceps.

Rivera, 41, said that he started to feel the soreness after his blown save on Sunday against the Mets at Citi Field.

"It's improving. Hopefully [Tuesday] I'll be ready to pitch," Rivera said. "I'm not concerned about it, I can tell you that. It's things that happen."

Dave Robertson would have served as New York's closer in a save situation on Monday. Yankees manager Joe Girardi said that he did not know of any tests that had been scheduled for Rivera.

"He's had issues that he gets worked on before, and he always seems to bounce back," Girardi said. "If it goes on for a few days, yes, then you get a little bit more concerned. Mo has had to fight through things to stay around this long. That's what he does."

With both Rivera and Luis Ayala unavailable after the latter had pitched in three of the last four games, Girardi said that he tried to push starter A.J. Burnett through seven innings, and might have even gone to the eighth with him.

Burnett surrendered four runs in the seventh to the Indians and suffered a 6-3 defeat.

Cano to take part in HR Derby

CLEVELAND -- Robinson Cano plans to be swinging for the fences at the All-Star Game festivities later this month in Phoenix.

The Yankees' second baseman said Monday that he has signed up for the July 11 State Farm Home Run Derby at Arizona's Chase Field, confirming his interest to American League derby captain David Ortiz of the Red Sox.

"That's the kind of thing that when you're a young kid, you look forward to and dream about one day," Cano said. "It's always good to taste what it's like to be there."

Cano had hoped to participate in the Home Run Derby last season, but the Yankees held him out over concerns about a sore back. This year, Cano said that hitting coach Kevin Long gave him the green light to go.

Effectively replacing Mark Teixeira, who turned down Ortiz's invitation, Cano likes the AL's squad of Big Papi, Boston's Adrian Gonzalez and the Blue Jays' Jose Bautista. He even thinks he has a chance to win it all.

"Why not? Of course," Cano said. "The best thing is to win it. If I'm there, you never know."

Jeter thanks fans for All-Star selection

CLEVELAND -- Now that the season's halfway point has passed for the Yankees, Derek Jeter looks back at the first half and isn't pleased with the numbers he sees next to his name.

However, Jeter was still voted the American League's starting shortstop for the July 12 All-Star Game at Arizona's Chase Field by a healthy margin, and for that he is grateful.

"Anytime you get voted in by the fans, you appreciate that they have an appreciation for how you play," Jeter said. "That's the way I've always looked at it. I've always considered it an honor. It makes you feel good that people appreciate how you play."

With 4,536,386 votes, Jeter beat out the Indians' Asdrubal Cabrera (4,073,992) to earn his 12th career trip to the Midsummer Classic, and his seventh fan-elected start, including his sixth straight.

Jeter, 37, had been sidelined by a right calf strain since June 14. He returned to action on Monday batting .260 (85-for-262), with nine doubles, a triple, two homers and 20 RBIs in 62 games.

"You're going to have years where your first half is going to be better than others," Jeter said. "This year, I'm not happy with my first half. You still appreciate what the fans think about you, and in that sense, it feels good."

Yankees manager Joe Girardi and general manager Brian Cashman have said they would have no issue with Jeter playing in the All-Star Game. Hours from taking the field in Cleveland, Jeter said that it was too soon to say for sure if he would.

"Am I going to play? I don't know," Jeter said. "I'm just trying to get out here and play this first game. I can't answer that."

Bombers bits

• Yankees manager Joe Girardi said that he would have no issue if Robinson Cano chooses to participate in the State Farm Home Run Derby. Cano has been in touch with David Ortiz after Mark Teixeira declined an invitation to participate. Cano had hoped to participate last year but was sidelined by a sore back.

• July 4 is a prominent date in Yankees history. Former Yankees principal owner George M. Steinbrenner was born on this date in 1930, Lou Gehrig gave his famous "Luckiest Man" speech and had his uniform No. 4 retired at Yankee Stadium in 1939, and Dave Righetti no-hit the Red Sox in 1983.

• This year marks the first time the Yankees will have four All-Star starting players (Robinson Cano, Derek Jeter, Alex Rodriguez, Curtis Granderson) since 1987, when Don Mattingly, Willie Randolph, Rickey Henderson and Dave Winfield were in the American League's starting lineup.

Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch. This story was not subject to the approval of Major League Baseball or its clubs.