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<h1><font class="first">P</font>seudo
<font class="first">H</font>oops
<table width="80%" class="data">
    <tr><td class="datahead" width="20%">Title:</td>
        <td class="data" width="80%">Pseudo Hoops</td></tr>

    <tr><td class="datahead">Author:</td>
        <td class="data">George Georgescu, Laurentiu Leustean and  <a href="http://users.abo.fi/vpreotea/">Viorel Preoteasa</a></td></tr>

    <tr><td class="datahead">Submission date:</td>
        <td class="data">2011-09-22</td></tr>

    <tr><td class="datahead" valign="top">Abstract:</td>
        <td class="abstract">

Pseudo-hoops are algebraic structures introduced by B. Bosbach under the name of complementary semigroups. In this formalization we prove some properties of pseudo-hoops and we define the basic concepts of filter and normal filter. The lattice of normal filters is isomorphic with the lattice of congruences of a pseudo-hoop. We also study some important classes of pseudo-hoops. Bounded Wajsberg pseudo-hoops are equivalent to pseudo-Wajsberg algebras and bounded basic pseudo-hoops are equivalent to pseudo-BL algebras. Some examples of pseudo-hoops are given in the last section of the formalization.

    <tr><td class="datahead">License:</td>
        <td class="data"><a href="http://afp.sourceforge.net/LICENSE">BSD License</a></td></tr>

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