On proper orthoalgebras, difference posets and Abelian relative inverse semigroups

Year, pages: 1997, 119 - 128

We prove that proper difference posets and abelian $RI$-semigroups cannot be densely embedded as subalgebras into any finitely orthocomplete ones. Moreover, a proper orthoalgebra cannot be embedded orthoalgebraically into any orthoalgebra being an orthomodular poset.

Riečanová, Z. 1997. On proper orthoalgebras, difference posets and Abelian relative inverse semigroups. In Tatra Mountains Mathematical Publications, vol. 10, no.1, pp. 119-128. 1210-3195.

Riečanová, Z. (1997). On proper orthoalgebras, difference posets and Abelian relative inverse semigroups. Tatra Mountains Mathematical Publications, 10(1), 119-128. 1210-3195.