For the record, a Lexington-based fraternity "does not condone or tolerate half-naked social events."

Kappa Alpha Order made that declaration in court papers filed this week against Dirty World Entertainment, an Arizona company that it says unfairly linked the fraternity to online images of half-nakedness, full-drunkenness and other assorted dirtiness.

Claiming trademark infringement, the fraternity is asking for a restraining order that would prohibit Dirty World from using the labels "Kappa Alpha" or "KA" with the images posted to its Web site.

The material first came to Kappa Alpha's attention last month, when an official at the fraternity's national headquarters in Lexington noticed an Internet posting that used KA's registered trademark, according to the lawsuit. The posting purported to show fraternity members at the Arizona State University chapter engaging in "various unorthodox and inappropriate situations."

Dirty World operates a Web site that features pictures of "scantily clad men and women, obviously intoxicated persons and miscellaneous social events," the lawsuit states.

The dirty details of what supposedly happened at Arizona State -- with or without KA members -- remain something of a mystery. Without describing the debauchery, the fraternity's lawsuit referred to a "true and accurate copy" of the Internet posting. But that copy was not included in online court records.

But suffice it to say, as the fraternity did in court papers: "KA does not condone or tolerate half-naked social events, did not authorize the particular social event at issue here, and will not tolerate any similar behavior from its current brethren."

Efforts to reach Dirty World were unsuccessful Tuesday.

A hearing is scheduled for Thursday before U.S. District Court Judge Glen Conrad. By then, the fraternity's request that the offending material be removed could be moot.

A visit Tuesday to the Internet link cited in court papers revealed no glimpses of either Kappa Alpha or half-nakedness.

"Sorry," a message on the mostly blank page stated, "no posts matched your criteria."