Central and Exchange Properties of Orthomodular Lattices

1980 ◽  
Vol 97 (1) ◽  
pp. 247-251 ◽  
Author(s):  
Ladislav Beran
Keyword(s):  
Orthomodular Lattices ◽  
Exchange Properties

Hydrous oxides and their cation-exchange properties

1965 ◽  
Vol 15 (10) ◽  
pp. 445-448 ◽  
Author(s):  
C. Heitner-Wirguin ◽  
A. Albu-Yaron
Keyword(s):  
Cation Exchange ◽  
Hydrous Oxides ◽  
Exchange Properties

Roughness in Orthomodular Lattices

2012 ◽  
Vol 2 (1) ◽  
pp. 9
Author(s):  
E. K. R Nagarajan ◽  
D. Umadevi
Keyword(s):  
Orthomodular Lattices

Soil acid and exchange properties of red soil in hilly regions under different cropping patterns

2013 ◽  
Vol 38 (5) ◽  
pp. 526-529
Author(s):  
Jia-hua YANG ◽  
Yang-zhu ZHANG ◽  
Ju-sheng GAO ◽  
Li-zhao HE ◽  
Pan LEI ◽  
...  
Keyword(s):  
Red Soil ◽  
Cropping Patterns ◽  
Exchange Properties

Mirsid volcanic tuff, alkaline activation, dissolved species, optimum activation time, optimum activating concentration

2020 ◽  
Vol 71 (2) ◽  
pp. 196-201
Author(s):  
Erika Reisz ◽  
Corneliu-Mircea Davidescu ◽  
Radu Ardelean ◽  
Liviu Costea
Keyword(s):  
Sudden Increase ◽  
Activation Time ◽  
Volcanic Tuff ◽  
X Ray ◽  
Second Stage ◽  
Dissolved Species ◽  
Species Optimum ◽  
Potassium Magnesium ◽  
Exchange Properties ◽  
Activating Solution

The purpose of this article is to study the activation of the Mir�id volcanic tuff with NaOH solutions at various concentrations. To be more specific, the work investigated the evolution of the concentrations of species that passed from the tuff into the activating solutions and the quantities of dissolved species from 100 g tuff. The species found in the activating solution were: potassium, magnesium, aluminium and silicon. The shape of the curves - a sudden increase followed by a plateau or a second stage of slower increase - allowed for setting up the optimal activation time at a half-hour. Another finding was the optimal concentration of 1 N for the activating solution. X-ray diffractograms showed the increase of clinoptilolite content in the tuff, thus improving the adsorbent as well as ion exchange properties by activation with NaOH solutions.

scholarly journals Residuated Structures and Orthomodular Lattices

Studia Logica ◽  
2021 ◽  
Author(s):  
D. Fazio ◽  
A. Ledda ◽  
F. Paoli
Keyword(s):  
Algebraic Logic ◽  
Residuated Lattices ◽  
Quantum Structures ◽  
Heyting Algebras ◽  
Quantum Algebras ◽  
Orthomodular Lattices ◽  
Lattice Of Subvarieties ◽  
Residuated Structures ◽  
Common Framework ◽  
Mv Algebras

AbstractThe variety of (pointed) residuated lattices includes a vast proportion of the classes of algebras that are relevant for algebraic logic, e.g., $$\ell $$ ℓ -groups, Heyting algebras, MV-algebras, or De Morgan monoids. Among the outliers, one counts orthomodular lattices and other varieties of quantum algebras. We suggest a common framework—pointed left-residuated $$\ell $$ ℓ -groupoids—where residuated structures and quantum structures can all be accommodated. We investigate the lattice of subvarieties of pointed left-residuated $$\ell $$ ℓ -groupoids, their ideals, and develop a theory of left nuclei. Finally, we extend some parts of the theory of join-completions of residuated $$\ell $$ ℓ -groupoids to the left-residuated case, giving a new proof of MacLaren’s theorem for orthomodular lattices.

scholarly journals Rough Approximation Operators on a Complete Orthomodular Lattice

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 164
Author(s):  
Songsong Dai
Keyword(s):  
Boolean Algebra ◽  
Orthomodular Lattice ◽  
Orthomodular Lattices ◽  
Approximation Operators ◽  
Rough Approximation ◽  
Distributive Law ◽  
Complete Orthomodular Lattice ◽  
The Relationship

This paper studies rough approximation via join and meet on a complete orthomodular lattice. Different from Boolean algebra, the distributive law of join over meet does not hold in orthomodular lattices. Some properties of rough approximation rely on the distributive law. Furthermore, we study the relationship among the distributive law, rough approximation and orthomodular lattice-valued relation.

Homologous Series of 2D Chalcogenides Cs–Ag–Bi–Q (Q = S, Se) with Ion-Exchange Properties

2017 ◽  
Vol 139 (36) ◽  
pp. 12601-12609 ◽  
Author(s):  
Jing Zhao ◽  
Saiful M. Islam ◽  
Shiqiang Hao ◽  
Gangjian Tan ◽  
Constantinos C. Stoumpos ◽  
...  
Keyword(s):  
Ion Exchange ◽  
Homologous Series ◽  
Exchange Properties

SOIL AND SOLUTION pH AND SODIUM:CALCIUM RATIO: EFFECTS ON CATION EXCHANGE PROPERTIES OF A SODIUM-SATURATED CHERNOZEMIC SOIL

1984 ◽  
Vol 64 (1) ◽  
pp. 139-146
Author(s):  
THERON G. SOMMERFELDT
Keyword(s):  
Cation Exchange ◽  
Soil Ph ◽  
Irrigation Water ◽  
Polynomial Equation ◽  
Exchangeable Sodium Percentage ◽  
Exchangeable Sodium ◽  
Solution Ph ◽  
Chernozemic Soil ◽  
Sodium Percentage ◽  
Exchange Properties

The effects of soil and solution pH and Na:Ca ratio in solution on the exchangeable Na, Ca, and (Na + Ca) of a Na-saturated Dark Brown Chernozemic soil were studied. At soil pH 9.0, the exchangeable Na, Ca, and (Na + Ca) were 14.5, 25.4, and 21.8% greater than at soil pH 6.0. Solution pH (6.0–9.0) had small but statistically significant effects on the amount of Na and Ca adsorbed by the soil. The logarithm of exchangeable sodium percentage (ESP) was related to the Na fraction in the solution by a polynomial equation, log ESP = 0.93 [Na/(Na + Ca)]2 + 0.16 [Na/(Na + Ca)] + 0.82. Not only is replacement of exchangeable Na with Ca important in the reclamation of this soil, should it become sodic and have a high pH, but also lowering of its surface charge, through lowering of its pH, would be an important factor in its reclamation. It appears impractical to reduce soil pH by applying acidified irrigation water. Acidic amendments such as gypsum and sulfur may be more suitable. Key words: Cation exchange, solution pH, soil pH

Sign in / Sign up

Export Citation Format

Share Document