Katerina Lycheva, 11, of Moscow, will come to the States next week on a peace mission. Lycheva is scheduled to arrive in Chicago March 21 to begin a five-city tour sponsored by Children as the Peacemakers Foundation, a nonprofit organization based in San Francisco.

Among the highlights planned for the young Soviet's visit are a meal at a McDonald's restaurant; a trip to the Statue of Liberty in New York; a visit to the Tomb of the Unknowns in Washington, where she will place a wreath; a Texas barbecue; and a day at Disneyland.

Star Rowe, 10, of San Francisco, will serve as Lycheva's tour guide throughout her two-week stay. In each city, Lycheva will visit schools for "peace sessions" with American children. She will also meet with public officials in New York City, Washington, Houston and Los Angeles.

Lycheva's trip came as a travel award made in the memory of Samantha Smith, said Patricia Montandon, founder and executive director of the peace foundation. She said 55 children from 33 countries have received International Peace Awards from the foundation. "We asked ourselves, 'What would Samantha want?' and the answer was to have a Soviet child visit the United States," Montandon said.

Dogs of the Rich and Famous

The death of Jack Nicholson's dog Ray has put Betje and Bruce Carlson in the limelight. "This is getting more attention than a murder," Bruce Carlson said yesterday.

The Carlsons' dog Max, an 11-month-old German shepherd, killed Ray, a Lhasa apso, in a fight Feb. 13 in Aspen, Colo. Ray received an obituary in the local paper. Carlson was ordered to pay Nicholson $769.20 for veterinary bills, and Max was sentenced to obedience school.

"Max is the nicest dog," said Bruce Carlson, a dentist. "There was a female dog with him, and maybe he was defending her honor."

"It was unfortunate about the little dog," Betje Carlson said. "But he was known up and down the valley for nipping at the children, chasing people on bicycles. He thought of himself as a big dog."

The Carlsons said they have been neighbors of Nicholson's for eight years and hope the incident will not affect their friendship.

End Notes

Professional tough guy James Cagney was admitted to New York City's Lenox Hill Hospital for evaluation of a circulatory disorder in his legs, a hospital spokesman said yesterday. The 86-year-old actor, who has starred in 61 films, was reported to be in satisfactory condition and good spirits, and should be released in a few days . . .

House Speaker Tip O'Neill is hosting a luncheon for Irish Prime Minister Garret FitzGerald Monday. About 40 people, including The Friends of Ireland, a bipartisan group of members of Congress, are expected to attend. The luncheon fare? "Beef and cabbage, of course," said a spokesman for O'Neill . . .

Actress Victoria Sellers, the 23-year-old daughter of the late actor Peter Sellers and actress Britt Ekland, turned herself in yesterday to face federal charges of participating in an international cocaine ring, a Los Angeles Drug Enforcement Administration official said. Sellers and five others were indicted earlier this week . . .

The guru without a country, Bhagwan Shree Rajneesh, was staying in a luxury hotel southwest of Dublin yesterday and is planning to fly to the Caribbean island of Antigua as soon as weather permits, Irish officials said. Rajneesh and his entourage arrived in Ireland March 7, after being denied entry to England. They were allowed to stay after his plane landed with a passenger in need of medical treatment . . .

Rukmini Sukarno Kline, daughter of the late president Sukarno of Indonesia, failed to show up for sentencing Thursday, and a warrant was issued for her arrest. Kline, 43, was convicted Wednesday in a New York state district court of misappropriating $5.5 million from a Japanese firm; she forfeited a $250,000 bail by not returning to the court. Asked where his client might have gone, defense attorney Craig Washington said, "I wish I knew."