ترغب بنشر مسار تعليمي؟ اضغط هنا

Right, left and double division in semigroups that are semilattices of groups

49   0   0.0 ( 0 )
 نشر من قبل Robert Monzo
 تاريخ النشر 2019
  مجال البحث
والبحث باللغة English
 تأليف R. A. R. Monzo




اسأل ChatGPT حول البحث

The binary products of right, left or double division in semigroups that are semilattices of groups give interesting groupoid structures that are in one to one correspondence with semigroups that are semilattices of groups. This work is inspired by the known one to one correspondence between groups and Ward quasigroups.



قيم البحث

اقرأ أيضاً

555 - Mark Kambites 2009
Recent research of the author has given an explicit geometric description of free (two-sided) adequate semigroups and monoids, as sets of labelled directed trees under a natural combinatorial multiplication. In this paper we show that there are natur al embeddings of each free right adequate and free left adequate semigroup or monoid into the corresponding free adequate semigroup or monoid. The corresponding classes of trees are easily described and the resulting geometric representation of free left adequate and free right adequate semigroups is even easier to understand than that in the two-sided case. We use it to establish some basic structural properties of free left and right adequate semigroups and monoids.
50 - Alexandre A. Panin 1999
We consider the lattice of subsemigroups of the general linear group over an Artinian ring containing the group of diagonal matrices and show that every such semigroup is actually a group.
Let $mathrm{Sl}left( n,mathbb{H}right)$ be the Lie group of $ntimes n$ quaternionic matrices $g$ with $leftvert det grightvert =1$. We prove that a subsemigroup $S subset mathrm{Sl}left( n,mathbb{H}right)$ with nonempty interior is equal to $mathrm{S l}left( n,mathbb{H}right)$ if $S$ contains a subgroup isomorphic to $mathrm{Sl}left( 2,mathbb{H}right)$. As application we give sufficient conditions on $A,Bin mathfrak{sl}left( n,mathbb{H}right)$ to ensuring that the invariant control system $dot{g}=Ag+uBg$ is controllable on $mathrm{Sl}left( n,mathbb{H}right)$. We prove also that these conditions are generic in the sense that we obtain an open and dense set of controllable pairs $left( A,Bright)inmathfrak{sl}left( n,mathbb{H}right)^{2}$.
We study the impact of the mixing (LR mixing) between the standard model $W$ boson and its hypothetical, heavier right-handed parter $W_R$ on the neutrinoless double beta decay ($0 ubetabeta$-decay) rate. Our study is done in the minimal left-right s ymmetric model assuming type-II dominance scenario with charge conjugation as the left-right symmetry. We then show that the $0 ubetabeta$-decay rate may be dominated by the contribution proportional to this LR mixing, which at the hadronic level induces the leading-order contribution to the interaction between two pions and two charged leptons. The resulting long-range pion exchange contribution can significantly enhance the decay rate compared to previously considered short-range contributions. Finally, we find that even if future cosmological experiments rule out the inverted hierarchy for neutrino masses, there are still good prospects for a positive signal in the next generation of $0 ubetabeta$-decay experiments.
Sela proved every torsion-free one-ended hyperbolic group is coHopfian. We prove that there exist torsion-free one-ended hyperbolic groups that are not commensurably coHopfian. In particular, we show that the fundamental group of every simple surface amalgam is not commensurably coHopfian.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا