Results 61 to 70 of about 210 (171)

Sheffer Stroke BCK-Algebras via Linear Diophantine Fuzzy Structures

Axioms
This study investigates linear Diophantine fuzzy structures within the framework of Sheffer stroke BCK-algebras (SBCK-algebras). We introduce and characterize linear Diophantine fuzzy SBCK-subalgebras and linear Diophantine fuzzy SBCK-ideals ...
Amal S. Alali, Tahsin Oner, Ravikumar Bandaru, Neelamegarajan Rajesh, Hashem Bordbar   +4 more
doaj   +1 more source

The Theory of Falling Shadows Applied to 𝑑-Ideals in 𝑑-Algebras

International Journal of Mathematics and Mathematical Sciences, 2012
On the basis of the theory of a falling shadow which was first formulated by Wang (1985), the notion of falling 𝑑∗-ideals in 𝑑-algebras is introduced, and related properties are investigated.
Young Bae Jun, Sun Shin Ahn
doaj   +1 more source

Ideals and hereditary subalgebras in operator algebras [PDF]

Studia Mathematica, 2012
This paper may be viewed as having two aims. First, we continue our study of algebras of operators on a Hilbert space which have a contractive approximate identity, this time from a more Banach algebraic point of view. Namely, we mainly investigate topics concerned with the ideal structure, and hereditary subalgebras (HSA's), which are in some sense ...
Almus, Melahat, Blecher, David P., Read, Charles John   +2 more
openaire   +2 more sources

On the influence of ideals and self-idealizing subalgebras on the structure of Leibniz algebras

Reports of the National Academy of Sciences of Ukraine, 2021
The subalgebra A of a Leibniz algebra L is self-idealizing in L, if A = IL (A) . In this paper we study the structure of Leibniz algebras, whose subalgebras are either ideals or self-idealizing. More precisely, we obtain a description of such Leibniz algebras for the cases where the locally nilpotent radical is Abelian non-cyclic, non-Abelian noncyclic,
L.A. Kurdachenko, A.A. Pypka, I.Ya. Subbotin   +2 more
openaire   +4 more sources

Null projections and noncommutative function theory in operator algebras

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract We study projections in the bidual of a C∗$\mathrm{C}^*$‐algebra B$B$ that are null with respect to a subalgebra A$A$, that is, projections p∈B∗∗$p\in B^{**}$ satisfying |φ|(p)=0$|\varphi |(p)=0$ for every φ∈B∗$\varphi \in B^*$ annihilating A$A$. In the separable case, A$A$‐null projections are precisely the peak projections in the bidual of A$
David P. Blecher, Raphaël Clouâtre
wiley   +1 more source

Ideals and Homomorphism Theorems of Fuzzy Associative Algebras

Mathematics
Based on the definitions of fuzzy associative algebras and fuzzy ideals, it is proven that the intersections of fuzzy subalgebras are fuzzy subalgebras, and the intersections of fuzzy ideals are fuzzy ideals.
Xiaoman Yang, Xin Zhou
doaj   +1 more source

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source

The singularity category and duality for complete intersection groups

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

Principal ideals in subalgebras of groupoid $C^*$-algebras

Illinois Journal of Mathematics, 2002
20 ...
openaire   +4 more sources

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source