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It was shown by the author and R. Halaš that every effect algebra can be organized into a conditionally residuated structure. Skew effect algebras were introduced as a non-associative modification of effect algebras. Hence, there is natural question if a similar characterization by a certain residuated structure is possible. For this we use the so-called skew residuated structure introduced recently...
Effect algebras play an important role in the logic of quantum mechanics. The aim of this paper is to drop the associativity of addition. However, some important properties of effect algebras are preserved, e.g. every so-called skew effect algebra is still a bounded poset with an antitone involution. Moreover, skew effect algebras are fully characterized as certain bounded posets with sectionally...
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