Resolved, sort of the problem with the names of the products.
In theme/modules/blockcart I edited blockcart.tpl
There is a line with the name of the product:
<a class="cart_block_product_name" href="{$link->getProductLink($product, $product.link_rewrite, $product.category, null, null, $product.id_shop, $product.id_product_attribute)}" title="{$product.name|escape:html:'UTF-8'}">
{$product.name|truncate:13:'...'|escape:html:'UTF-8'}</a>
I changed the truncate value to 18.
You can change it to the length Your theme allows You.