. . . . . "1"^^ . "We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which is connected with partially ordered groups not necessarily with strong unit. In such a case, starting even with an Abelian po-group, we can obtain a oncommutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz Decomposition Properties. Kites are so-called perfect pseudo effect algebras, and we define conditions when kite pseudo effect algebras have the least non-trivial normal ideal." . "Kite pseudo effect algebras"@en . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "1"^^ . "O" . "10.1007/s10701-013-9748-y" . "[A3AB1FB6D055]" . "Kite pseudo effect algebras" . . . "82680" . "Dvure\u010Denskij, Anatolij" . . . "RIV/61989592:15310/13:33146350!RIV14-MSM-15310___" . "Kite pseudo effect algebras"@en . . "Foundations of Physics" . . . "15310" . . . "Perfect pseudo effect algebra; Normal ideal; algebra; Kite pseudo effect; Lexicographic product; Riesz Decomposition Property; Strong unit; Po-group; group; Pseudo effect algebra; Pseudo MV-algebra"@en . . . "000326398300004" . "We define a new class of pseudo effect algebras, called kite pseudo effect algebras, which is connected with partially ordered groups not necessarily with strong unit. In such a case, starting even with an Abelian po-group, we can obtain a oncommutative pseudo effect algebra. We show how such kite pseudo effect algebras are tied with different types of the Riesz Decomposition Properties. Kites are so-called perfect pseudo effect algebras, and we define conditions when kite pseudo effect algebras have the least non-trivial normal ideal."@en . "43" . "2013" . . . "25"^^ . . "0015-9018" . . . "RIV/61989592:15310/13:33146350" . "Kite pseudo effect algebras" . . .