the same category have different addresses. Fix?

For the side bar URLs, that's because you're using joomla menu items.
Instead, you should create a hikashop module to display your categories (you should be able to achieve the same styling) and set the menu you're using on your home page in the "menu" option of that module. That way, it will produce the same URLs.

For the breadcrumb URL, that's because your categories name are in russian and we didn't do the modification to properly support UTF8 in the URLs of the breadcrumb.
You should edit the file components/com_hikashop/views/category/view.html.php via FTP and replace the line:
$pathway->addItem($category->category_name,hikashop_completeLink('category&task=listing&cid='.(int)$category->category_id.'&name='.strtolower(preg_replace('#[^a-z0-9-_]#i','',$category->category_name)).$menu_id));

by the code:
if(method_exists($app,'stringURLSafe')){
$alias = $app->stringURLSafe($category->category_name);
}else{
$alias = JFilterOutput::stringURLSafe($category->category_name);
}
$pathway->addItem($category->category_name,hikashop_completeLink('category&task=listing&cid='.(int)$category->category_id.'&name='.$alias.$menu_id));

Yes, that's because that change has to be made at different places, not only there.
In the file components/com_hikashop/views/category/view.html.php you will found the addItem call at several places where the category name is used and it need to be replaced in the same fashion.

Yes, that's because that change has to be made at different places, not only there.
In the file components/com_hikashop/views/category/view.html.php you will found the addItem call at several places where the category name is used and it need to be replaced in the same fashion.

There is not only one place
In the file components/com_hikashop/views/product/view.html.php, you will find the line:

$pathway->addItem($category->category_name,hikashop_completeLink('category&task=listing&cid='.(int)$category->category_id.'&name='.strtolower(preg_replace('#[^a-z0-9-_]#i','',$category->category_name)).$url_itemid));

that you should replace in the same fashion, with that code:
if(method_exists($app,'stringURLSafe')){
$alias = $app->stringURLSafe(strip_tags($category->category_name));
}else{
$alias = JFilterOutput::stringURLSafe(strip_tags($category->category_name));
}
$pathway->addItem($category->category_name,hikashop_completeLink('category&task=listing&cid='.(int)$category->category_id.'&name='.$alias.$url_itemid));

It will of course be included in next version of HikaShop which will be released this week.

@goslingcools : Yes, this modification has been included in HikaShop 1.5.5 which was released last month.

@ener : Please explain more your problem.

Yes, that's normal. There is no solution for that.