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3. Relatively pseudocomplemented posets

Creator:
Chajda, Ivan and Länger, Helmut
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
relatively pseudocomplemented poset, join-semilattice, and distributive poset
Language:
English
Description:
We extend the notion of a relatively pseudocomplemented meet-semilattice to arbitrary posets. We show some properties of the binary operation of relative pseudocomplementation and provide some corresponding characterizations. We show that relatively pseudocomplemented posets satisfying a certain simple identity in two variables are join-semilattices. Finally, we show that every relatively pseudocomplemented poset is distributive and that the converse holds for posets satisfying the ascending chain condition and one more natural condition. Suitable examples are provided.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

4. Response of photosynthesis of Pisum sativum to salt stress as affected by methyl jasmonate

Creator:
Velitchkova, M. and Fedina, I.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
chlorophyll fluorescence, Cl, Na, NaCl, pea, proline, relative water content, ribulose-1,5-bisphosphate carboxylase/oxygenase, and salt stress
Language:
Multiple languages
Description:
10-5 M methyl jasmonate (JA-Me) treatment itself did not considerably change the 14CO2 fixation, parameters of room temperature chlorophyll fluorescence induction, proline content, and Na+ as well as Cl- accumulation. Salt stress (30 mM NaCl) lead to a decrease of both 14CO2 fixation and relative water content, and to an increase of proline content. Immediate nonvariable fluorescence (F0) also increased and the variable to maximal fluorescence ratio (Fv/Fm) decreased. Pretreatment with JA-Me for 3 d before salt treatment diminished the inhibitory effect of NaCl on the rate of 14CO2 fixation, protein content, and activity and content of ribulose-1,5-bisophosphate carboxylase/oxygenase. The Na+ and Cl- contents in leaves decreased in JA-Me pretreated plants. The JA-Me pretreatment prevented the increase of F0 level and restored the values of Fv/Fm. and M. Velitchkova, I. Fedina.
Rights:
http://creativecommons.org/licenses/by-nc-sa/4.0/ and policy:public

5. Uniqueness of entire functions concerning difference polynomials

Creator:
Meng, Chao
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
entire function, difference polynomial, and uniqueness
Language:
English
Description:
In this paper, we investigate the uniqueness problem of difference polynomials sharing a small function. With the notions of weakly weighted sharing and relaxed weighted sharing we prove the following: Let f(z) and g(z) be two transcendental entire functions of finite order, and α(z) a small function with respect to both f(z) and g(z). Suppose that c is a non-zero complex constant and n ≥ 7 (or n ≥ 10) is an integer. If f n (z)(f(z)−1)f(z +c) and g n (z)(g(z) − 1)g(z + c) share ''(α(z), 2)'' (or (α(z), 2)∗ ), then f(z) ≡ g(z). Our results extend and generalize some well known previous results.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public