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Sequential Convergences on Boolean Algebras Defined by Systems of Maximal Filters |
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| Authors: | Roman Fric Jan Jakubik |
| Institution: | (1) Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, Slovakia |
| Abstract: | We study sequential convergences defined on a Boolean algebra by systems of maximal filters. We describe the order properties of the system of all such convergences. We introduce the category of 2-generated convergence Boolean algebras and generalize the construction of Novak sequential envelope to such algebras. |
| Keywords: | sequential convergence on Boolean algebras 2-generated convergence 2-embedded Boolean algebra absolutely sequentially closed Boolean algebra |
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