Results 31 to 40 of about 77 (63)
On Maximal Subsemigroups of Partial Baer‐Levi Semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 2011, Issue 1, 2011., 2011 Suppose that X is an infinite set with |X | ≥ q ≥ ℵ0 and I(X) is the symmetric inverse semigroup defined on X. In 1984, Levi and Wood determined a class of maximal subsemigroups MA (using certain subsets A of X) of the Baer‐Levi semigroup BL(q) = {α ∈ I(X): dom α = X and |X∖Xα| = q}.
Boorapa Singha +2 more
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A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
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Mathematical Problems in Engineering, Volume 2009, Issue 1, 2009., 2009 This paper investigates the necessary and sufficient condition for a set of (real or complex) matrices to commute. It is proved that the commutator [A, B] = 0 for two matrices A and B if and only if a vector v(B) defined uniquely from the matrix B is in the null space of a well‐structured matrix defined as the Kronecker sum A ⊕ (−A∗), which is always ...
M. De La Sen, Angelo Luongo
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Traces on the uniform tracial completion of Z$\mathcal {Z}$‐stable C∗${\rm C}^*$‐algebras
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract The uniform tracial completion of a C∗${\rm C}^*$‐algebra A$A$ with compact trace space T(A)≠∅$T(A) \ne \emptyset$ is obtained by completing the unit ball with respect to the uniform 2‐seminorm ∥a∥2,T(A)=supτ∈T(A)τ(a∗a)1/2$\Vert a\Vert _{2,T(A)}=\sup _{\tau \in T(A)} \tau (a^*a)^{1/2}$. The trace problem asks whether every trace on the uniform
Samuel Evington
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Unipotency of Matrix Group Generated by Two Matrices
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this paper, the problem of unipotency for the matrix group generated by two matrices is examined. By employing matrix logarithms as a tool, various combinatorial formulas for matrices were derived by selecting different primitive elements. Key conclusions were then reached through the organization and simplification of these formulas.
Yanshuo Cheng, Xinsong Yang, Kamal Kumar
wiley +1 more source
Weak ω‐Approximate Biprojectivity of Banach Algebras
Journal of Mathematics, Volume 2025, Issue 1, 2025.For a given Banach algebra M and a continuous endomorphism ω on M, we define weakly ω‐approximately biprojective and weakly ω‐approximately Helemskii biflat Banach algebras. We then examine the relationship between them and express the correlation between them and ω‐pseudoamenability.
Zahra Ghorbani, Elena Guardo
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Characterizing Topologically Dense Injective Acts and Their Monoid Connections
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we explore the concept of topologically dense injectivity of monoid acts. It is shown that topologically dense injective acts constitute a class strictly larger than the class of ordinary injective ones. We determine a number of acts satisfying topologically dense injectivity.
Masoomeh Hezarjaribi Dastaki +3 more
wiley +1 more source
On ∼n Notion of Conjugacy in Some Classes of Epigroups
Journal of Mathematics, Volume 2024, Issue 1, 2024.The action of any group on itself by conjugation and the corresponding conjugacy relation plays an important role in group theory. Generalizing the group theoretic notion of conjugacy to semigroups is one of the interesting problems, and semigroup theorists had produced substantial amount of research in this direction.
Aftab Hussain Shah +3 more
wiley +1 more source
Subgroups of free idempotent generated semigroups: full linear monoid
, 2010 We hope to use similar methods to study the higher rank ...
Brittenham, Mark +2 more
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Direct products of free groups and free idempotent generated semigroups over bands
, 2011 For each group G which decomposes into a finitary direct product of free groups of finite rank we construct a regular band B such that the free idempotent generated semigroup over B contains a maximal subgroup isomorphic to G. In particular, there exists a (regular) band B_0 with the property that any idempotent generated semigroup whose biordered set ...
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