Results 71 to 80 of about 12,395 (180)
Some Properties of Hyper Ideals in Hyper Hoop‐Algebras
In this paper, we investigate the structural properties of hyper ideals in hyper hoop‐algebras, a generalization of hoop‐algebras under the framework of hyperstructures. Building upon foundational concepts in hyper group theory and hoop theory, the study introduces definitions for hyper ideals and weak hyper ideals, as well as their absorptive and ...
Teferi Getachew Alemayehu +5 more
wiley +1 more source
Ordered prime spectra of bounded $DRl$-monoids [PDF]
Summary: Ordered prime spectra of Boolean products of bounded \(DRl\)-monoids are described by means of their decompositions to the prime spectra of the components.
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Curves of best approximation on wonderful varieties
Abstract We give an unconditional proof of the Coba conjecture for wonderful compactifications of adjoint type for semisimple Lie groups of type An$A_n$. We also give a proof of a slightly weaker conjecture for wonderful compactifications of adjoint type for arbitrary Lie groups.
Christopher Manon +2 more
wiley +1 more source
On finitary power monoids of linearly orderable monoids
A commutative monoid $M$ is called a linearly orderable monoid if there exists a total order on $M$ that is compatible with the monoid operation. The finitary power monoid of a commutative monoid $M$ is the monoid consisting of all nonempty finite subsets of $M$ under the so-called sumset.
Dani, Jiya +4 more
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Orders of Finite Reductive Monoids
We show four formulas for calculating the orders of finite reductive monoids with zero. As applications, these formulas are then used to calculate the orders of finite reductive monoids induced from the $F_q$-split $\J$-irreducible monoids $\overline {K^* (G_0)}$ where $G_0$ is a simple algebraic group over the algebraic closure of $F_q$, and $ : G_0\
Li, Zhuo, Li, Zhenheng, Cao, You'an
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The flat cover conjecture for monoid acts
Abstract We prove that the Flat Cover Conjecture holds for the category of (right) acts over any right‐reversible monoid S$S$, provided that the flat S$S$‐acts are closed under stable Rees extensions. The argument shows that the class F$\mathcal {F}$‐Mono (S$S$‐act monomorphisms with flat Rees quotient) is cofibrantly generated in such categories ...
Sean Cox
wiley +1 more source
A Monoid for the Grassmannian Bruhat Order
If \(S_\infty\) denotes the group of permutations on the natural numbers fixing all but a finite number then \(u\in S_\infty\) may be used to define Schubert polynomials \(S_u\in Z[X_1,X_2,\dots]\) as a homogeneous basis indexed by these. For \(u,v\in S_\infty\), the product \(S_uS_v= \Sigma_w c^w_{uv}\) \((w\in S_\infty)\) where the structure ...
Bergeron, N, Sottile, F
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Is every product system concrete?
Abstract Is every product system of Hilbert spaces over a semigroup P$P$ concrete, that is, isomorphic to the product system of an E0$E_0$‐semigroup over P$P$? The answer is no if P$P$ is discrete, cancellative and does not embed in a group. However, we show that the answer is yes for a reasonable class of semigroups.
S. Sundar
wiley +1 more source
Autometrized Lattice Ordered Monoids
In this paper, we introduce the notion of Autometrized lattice ordered monoids (for short,AL-monoids) as a generalization to DRl-semi groups. We obtain the basic properties of AL-monoids. Also, we prove that Autometrized lattice ordered monoids are equationally definable. Furthermore, we show that AL-monoids are an optimal common abstraction of Boolean
Ashale, Tekalign Regasa +2 more
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THE WELL-ORDERING OF DUAL BRAID MONOID
We describe the restriction of the Dehornoy ordering of braids to the dual braid monoids introduced by Birman, Ko and Lee: we give an inductive characterization of the ordering of the dual braid monoids and compute the corresponding ordinal type. The proof consists in introducing a new ordering on the dual braid monoid using the rotating normal form ...
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