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21.
Jehan Al-Bar 《代数通讯》2013,41(7):2309-2324
We consider adequate transversals of abundant semigroups and prove that, in a particular case, there is a natural embedding of an inverse transversal within a certain regular subsemigroup. We also introduce the concepts of simplistic, perfect, and quasi-adequate transversal and provide a number of interesting connections between these. 相似文献
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Hong Kyung Pak 《Geometriae Dedicata》1997,66(1):19-25
In Pak (Ann. Global Anal. Geom.13 (1995), 281–288), the notion of -automorphisms of a harmonic Riemannian foliation was extended to a general Riemannian foliation. By applying the characterization obtained in Pak of a -automorphism to be transversal Killing, we here consider the problem that a transversal conformal or projective field is transversal Killing. A special condition, namely B B = 0, is discussed. 相似文献
26.
Yutaka Hiramine 《Discrete Mathematics》2008,308(13):2776-2780
Let G be a group of order 4n and t an involution of G. A 2n-subset R of G is called a left Hadamard transversal of G with respect to 〈t〉 if G=R〈t〉 and for some subsets S1 and S2 of G. Let H be a subgroup of G such that G=[G,G]H, t∈H, and tG⊄H, where tG is the conjugacy class of t and [G,G] is the commutator subgroup of G. In this article, we show that if R satisfies a condition , then R is a (2n,2,2n,n) relative difference set and one can construct a v×v integral matrix B such that BBT=BTB=(n/2)I, where v is a positive integer determined by H and tG (see Theorem 2.6). Using this we show that there is no left Hadamard transversal R satisfying (*) in some simple groups. 相似文献
27.
In this article, we prove that there does not exist a symmetric transversal design which admits an automorphism group of order 4 acting semiregularly on the point set and the block set. We use an orbit theorem for symmetric transversal designs to prove our result. As a corollary of the result, we prove that there is no projective plane of order 12 admitting a collineation group of order 8. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 411–430, 2008 相似文献
28.
Let S be a regular semigroup, S° an inverse subsemigroup of S.S° is called a generalized inverse transversal of S, if V(x)∩S°≠Ф. In this paper, some properties of this kind of semigroups are discussed. In particular, a construction theorem is obtained which contains some recent results in the literature as its special cases. 相似文献
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1 Introduction Laserdiode(LD)pumpedpassivelyQswitchedminiaturelaserscangeneratehighpowerandhighrepetitionratepulsesinthenanosecondandsubnanosecondregimes,andhavewideapplicationsinmicromachining,ranging,remotesensing,microsurgeryandsoon.Owingtolaserdiode… 相似文献
30.
In this paper,the completed stochastic web and incompleted stochastic web producedby the perturbed saddle separatrix net are given.The structural properties of two kinds ofweb are discussed by means of the dynamical system theory. 相似文献