Q: need some trick with text-decoration EDIT #3, and finall:
Ok, so i actually made it happend. Idiotically, however. In case someone will need the same, i'll post a solution here:
What i've did is, basically defined the global  style as below:
a:link,a:visited
{
color:#000000;
text-decoration:none;
}
a:hover,a:active
{
color:#000000;
text-decoration:none;
}

That was the very basic parameters i could insert at the global  style. The next move is makin' the same  inside the  link and customize it for ur need as like as u want, hover, make sure u're doin' the copy of that customization of ur div, and insert the :hover thing into it, as following:
.some-div-cutomization
{
text-decoration:none!important;
blabla
}
.some-div-cutomization:hover
{
text-decoration:none!important;
blabla
edit if needed the hover function
}

That's about it. Have fun :)
I've got some source links, that i can't touch, even to insert the class element, so i would be able to change the style of the links, but i do need somehow to change they style.
So, let's say tag of this link would be [link][/link], so what i did is, put inside it div element with full customization and it's worked, however there's two moments:
1) I don't really know if it's may work properly on all browsers, 'cause i need it cross-browser version actually.
2) i can't get rid of the text-decoration line. i've tried text-decoration with none, and even mad a copy style of that specific div with :hover and put inside it text-decoration none, and still, it's not working. 
Also, if there's some another trick to avoid such a thing, please share.
EDIT: 
I've tried all below, didn't work as i wanted to. BUT, i've made it, but with very, very ugly coding, and i'm not sure it's goin' to work at all browsers:
I've inserted the  link-element with underline none inside the one() i can't touch, so now it's link inside another link, witch very ugly.
[link-i-cant-touch]<div class="style_test"><a id="no-textdecoration" href="#">somecooltext</a></div>[/link-i-cant-touch]

.style_test
{
text-decoration:none!important;
font-family: 'qsc';
text-align:left;
padding-top:0px;
color:#000000;
}
#no-textdecoration{
text-decoration:none!important;
color:#000000;
}
#no-textdecoration:hover{
text-decoration:none!important;
color:#1982d1;
}

EDIT Num2 
That didn't work as well, because the link is changed to the second one, so it's redirect for "#"... :/

A: Make sure you target the a tag for the text-decoration, rather than applying it to the div
.my-div-class a { text-decoration: none; }

A: I don't know what you did wrong, as you haven't posted any code.
But this is the correct way of removing text-decoration on links.
HTML:
<a href="#">Link with text decoration</a>
<a id="no-textdecoration" href="#">Link without text decoration</a>

CSS:
#no-textdecoration {
    text-decoration:none;
}

Output: (In image format)

JSFiddle demo: Removing text-decoration from a link
