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Module Structure on Effect Algebras

100%

Saidi Goraghani S., Borzooei R. A.

Bulletin of the Section of Logic

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2020

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tom 49

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nr 3

269-290

EN

In this paper, by considering the notions of effect algebra and product effect algebra, we define the concept of effect module. Then we investigate some properties of effect modules, and we present some examples on them. Finally, we introduce some topologies on effect modules.

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Topological Complexity in Protein Structures

75%

Flapan E., Heller G.

Molecular Based Mathematical Biology

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2015

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tom 3

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nr 1

EN

For DNA molecules, topological complexity occurs exclusively as the result of knotting or linking of the polynucleotide backbone. By contrast, while a few knots and links have been found within the polypeptide backbones of some protein structures, non-planarity can also result from the connectivity between a polypeptide chain and inter- and intra-chain linking via cofactors and disulfide bonds. In this article, we survey the known types of knots, links, and non-planar graphs in protein structures with and without including such bonds and cofactors. Then we present new examples of protein structures containing Möbius ladders and other non-planar graphs as a result of these cofactors. Finally, we propose hypothetical structures illustrating specific disulfide connectivities that would result in the key ring link, the Whitehead link and the 51 knot, the latter two of which have thus far not been identified within protein structures.

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Decomposition of topologies on lattices and hyperspaces

46%

Costantini C., Vitolo P.

Instytut Matematyczny Polskiej Akademii Nauk

EN

CONTENTS Introduction.................................................................................5 1. Decomposable topologies.......................................................6 2. Locally convex topologies......................................................10 3. Semilattices. Strong decomposability.....................................13 4. Convex topologies.................................................................15 5. Topologies on linearly ordered sets.......................................18 6. Topologies on lattices............................................................20 7. The Scott topology.................................................................26 8. Uniqueness of decomposition................................................28 9. Hyperspace topologies..........................................................32 10. The Vietoris topology...........................................................35 11. The Hausdorff metric topology.............................................37 12. The proximal topology..........................................................39 13. The Kuratowski convergence..............................................40 14. Uniqueness of decomposition for hypertopologies..............44 References................................................................................47

Ograniczanie wyników

1 Bulletin of the Section of Logic

1 Molecular Based Mathematical Biology

1 Borzooei R. A.

1 Costantini C.

1 Flapan E.

1 Heller G.

1 Saidi Goraghani S.

1 Vitolo P.

1 2020

1 2015

1 1999

Module Structure on Effect Algebras

Topological Complexity in Protein Structures

Decomposition of topologies on lattices and hyperspaces