Geodesic
New operations on partial Abelian monoids defined by preideals
Kybernetika, Tome 44 (2008) no. 3, pp. 441-450

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We consider partial abelian monoids, in particular generalized effect algebras. From the given structures, we construct new ones by introducing a new operation $\oplus $, which is given by restriction of the original partial operation + with respect to a special subset called preideal. We bring some derived properties and characterizations of these new built structures, supporting the results by illustrative examples.
We consider partial abelian monoids, in particular generalized effect algebras. From the given structures, we construct new ones by introducing a new operation $\oplus $, which is given by restriction of the original partial operation + with respect to a special subset called preideal. We bring some derived properties and characterizations of these new built structures, supporting the results by illustrative examples.
Classification : 08A55, 81P10
Keywords: partial abelian monoid; generalized effect algebra; preideal; Riesz decomposition property; central element 
Vinceková, Elena. New operations on partial Abelian monoids defined by preideals. Kybernetika, Tome 44 (2008) no. 3, pp. 441-450. http://geodesic.mathdoc.fr/item/KYB_2008_44_3_a12/
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     author = {Vincekov\'a, Elena},
     title = {New operations on partial {Abelian} monoids defined by preideals},
     journal = {Kybernetika},
     pages = {441--450},
     year = {2008},
     volume = {44},
     number = {3},
     mrnumber = {2436043},
     zbl = {1154.81305},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008_44_3_a12/}
}
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