Results 41 to 50 of about 210 (171)
Ad-nilpotent ideals of a Borel subalgebra II
AmsTex file, 38 pages; revised version. To appear in Advances in Mathematics under the title "Abelian ideals of Borel subalgebras and affine Weyl groups"
PAPI, Paolo, CELLINI P.
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In this paper, we apply the notion of bipolar-valued fuzzy set to UP-algebras. We introduce the notions of bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) of UP-algebras and ...
Korawut Kawila +2 more
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Fuzzy Sub-Equality Algebras Based on Fuzzy Points
In this paper, by using the notion of fuzzy points and equality algebras, the notions of fuzzy point equality algebra, equality-subalgebra, and ideal were established. Some characterizations of fuzzy subalgebras were provided by using such concepts.
Mona Aaly Kologani +3 more
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New types of hesitant fuzzy sets on UP-algebras [PDF]
The concepts of sup-hesitant fuzzy UP-subalgebras, sup- hesitant fuzzy UP-filters, sup-hesitant fuzzy UP-ideals, and sup-hesitant fuzzy strongly UP-ideals are introduced, proved some results and discussed the generalizations of these concepts ...
Phakawat Mosrijai +2 more
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Structures on Doubt Neutrosophic Ideals of BCK/BCI-Algebras under (S, T)-Norms [PDF]
Smarandache implemented the idea of neutrosophic set theory as a method for dealing undetermined data. Neutrosophic set theory is commonly used in various algebric structures, such as groups, rings and BCK/BCI-algebras.
Anas Al-Masarwah, Abd Ghafur Ahmad
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Amenability Constants for Unconditional Sums of Banach Algebras
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
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ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis +2 more
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Free semigroups of large critical exponent
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
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Hybrid Ideals of BCK/BCI-Algebras
The notion of hybrid ideals in B C K / B C I -algebras is introduced, and related properties are investigated. Characterizations of hybrid ideals are discussed.
Kyung-Tae Kang +3 more
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Ad-nilpotent ideals of a parabolic subalgebra
We extend the results of Cellini-Papi on the characterizations of nilpotent and abelian ideals of a Borel subalgebra to parabolic subalgebras of a simple Lie algebra. These characterizations are given in terms of elements of the affine Weyl group and faces of alcoves.
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