Weakly algebraic ideal topology of effect algebras
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3594-0 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3594-0 | ||
| 245 | 0 | 0 | |a Weakly algebraic ideal topology of effect algebras |h [Elektronische Daten] |c [Qing Luo, Guo Wang] |
| 520 | 3 | |a In this paper, we show that every weakly algebraic ideal of an effect algebra E induces a uniform topology (weakly algebraic ideal topology, for short) with which E is a first-countable, zero-dimensional, disconnected, locally compact and completely regular topological space, and the operation ⊕ of effect algebras is continuous with respect to these topologies. In addition, we prove that the operation ⊝ of effect algebras and the operations ∧ and ∨ of lattice effect algebras are continuous with respect to the weakly algebraic ideal topology generated by a Riesz ideal. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Effect algebra |2 nationallicence | |
| 690 | 7 | |a weakly algebraic ideal |2 nationallicence | |
| 690 | 7 | |a uniform topology |2 nationallicence | |
| 690 | 7 | |a continuity |2 nationallicence | |
| 700 | 1 | |a Luo |D Qing |u School of Statistics, Xi'an University of Finance and Economics, 710100, Xi'an, P. R. China |4 aut | |
| 700 | 1 | |a Wang |D Guo |u School of Mathematics and Information, Shaanxi Normal University, 710062, Xi'an, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/5(2015-05-01), 787-796 |x 1439-8516 |q 31:5<787 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3594-0 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3594-0 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Luo |D Qing |u School of Statistics, Xi'an University of Finance and Economics, 710100, Xi'an, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wang |D Guo |u School of Mathematics and Information, Shaanxi Normal University, 710062, Xi'an, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/5(2015-05-01), 787-796 |x 1439-8516 |q 31:5<787 |1 2015 |2 31 |o 10114 | ||