We define the center C of a d0-algebra A as a set of self-mappings on A. The center can be regarded as the set of all possible d0-subdirect factors of A which are subalgebras of A. We show that C is always a Boolean algebra. We also show that C admits an embedding in the power A ^\kappa , where \kappa is the cofinality of A. In case \kappa =1 (i.e. A is a D-lattice) we reobtain the well-known fact that C is a subalgebra of A.
The center of a D0-algebra
A. Avallone
;P. Vitolo
2020-01-01
Abstract
We define the center C of a d0-algebra A as a set of self-mappings on A. The center can be regarded as the set of all possible d0-subdirect factors of A which are subalgebras of A. We show that C is always a Boolean algebra. We also show that C admits an embedding in the power A ^\kappa , where \kappa is the cofinality of A. In case \kappa =1 (i.e. A is a D-lattice) we reobtain the well-known fact that C is a subalgebra of A.File in questo prodotto:
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