@Article{BikNavYak:idempotents,
  IS = { zkontrolovano 11 Jun 2015 },
  UPDATE  = { 2015-06-11 },
  author =      {Airat M. Bikchentaev and Mirko Navara and Rinat Yakushev},
  affiliation = {NULL-13133-NULL},
  authorship =  {34-33-33},
  language =    {English},
  title =       {Quantum logics of idempotents of unital rings},
  year =        {2015},
  month =       {6},
  pages =       {1987--2000},
  journal =     {International Journal of Theoretical Physics},
  publisher =   {Springer},
  address =     {New York, US},
  issn =        {0020-7748},
  volume =      {54},
  number =      {6},
  annote =      {We introduce some new examples of quantum logics of
                  idempotents in a ring. We continue the study of
                  symmetric logics, i.e., collections of subsets
                  generalizing Boolean algebras and closed under the
                  symmetric difference.},
  keywords =    {orthomodular poset; quantum logic; state; symmetric
                  difference; Boolean algebra; set representation;
                  C*-algebra; von Neumann algebra; positive
                  functional; trace; idempotent; projection; additive
                  mapping},
  project =     {SGS12/187/OHK3/3T/13},
  doi =         {10.1007/s10773-014-2405-1},
}