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Quotient structures in lattice effect algebras

Amir Hossein Sharafi, Rajb Ali Borzooei (2019)

Kybernetika

In this paper, we define some types of filters in lattice effect algebras, investigate some relations between them and introduce some new examples of lattice effect algebras. Then by using the strong filter, we find a CI-lattice congruence on lattice effect algebras, such that the induced quotient structure of it is a lattice effect algebra, too. Finally, under some suitable conditions, we get a quotient MV-effect algebra and a quotient orthomodular lattice, by this congruence relation.

q-White noise and non-adapted stochastic integral

Un Cig Ji, Byeong Su Min (2006)

Banach Center Publications

The q-white noise is studied as the time derivative of the q-Brownian motion. As an application of the q-white noise, a non-adapted (non-commutative) stochastic integral with respect to the q-Brownian motion is constructed.

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