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.
Classification : 08A55, 81P10
Keywords: partial abelian monoid; generalized effect algebra; preideal; Riesz decomposition property; central element 
@article{KYB_2008__44_3_a12,
     author = {Vincekov\'a, Elena},
     title = {New operations on partial {Abelian} monoids defined by preideals},
     journal = {Kybernetika},
     pages = {441--450},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {2008},
     mrnumber = {2436043},
     zbl = {1154.81305},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2008__44_3_a12/}
}
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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/