Inheritance Properties

Author(s):  
Weiyang Ding ◽  
Yimin Wei
2021 ◽  
Vol 57 (1) ◽  
pp. 59-83
Author(s):  
Liljana Mitkovska

Abstract This paper analyses a number of constructions with a reflexive marker on the verb and a dative argument, using the framework of Construction Grammar. In these constructions the predication is ascribed in various modes to the experiencer argument. We focus on these constructions in the South Slavic languages in which they have a wide distribution, Macedonian, Bulgarian and Bosnian/Croatian/Serbian (BCS). The following basic types are identified: Emotional processes and states, Accidental, Perception/Cognition and Stative Reflexive-Dative Construction (SRDC). The specific clusters of features in each one are due to the inheritance properties from a reflexive construction, indicating a valence reduction, in combination with the features of affectedness and lack of control, characteristic of a dative argument. This results in varied but multiply linked patterns that create a complex network of constructions. The study aims at defining the relations between these constructions and in particular at determining the place of SRDC in this network.


2017 ◽  
Vol 9 (1-4) ◽  
Author(s):  
Sulaiman M.A ◽  
Wan Yusoff W.Z ◽  
Al-Edrus S.M.D ◽  
Shafie. F

The missing person issue has recently become the issue of the world, especially after the Malaysian Airlines MH370 tragedy a few years ago. In Islam, the missing person is known as ‘Al-Mafqud’. One of the largest issue is how the management of missing person’s properties which can also affect country and their heirs. Management of missing person’s properties is different as compared to management of inheritance properties. Uncertain status of person’s life or death creates the conflict and their property needs to be frozen due to law constraints either in Malaysia civil or syariah law. This phenomenon raises many issues and problems that become increasingly critical and extremely difficult to resolve. Besides, if the muslim’s properties do not develop, it can cause detrimental effect to the muslim community. In Islam, the wastage of wealth resource is highly discouraged because it will cause significant impact to the Muslims. Moreover, if the property is used wisely, it will give a positive impact to the society, economy and education. On that matter, in 1982 National Fatwa Committee has already given the decree that the government has the right to acquire or use any form of property that is not used for public interest. But until now, no effective measures have been taken by the government to ensure that these issues can be dealt with properly. Hence, this research addresses the management of missing person’s properties in the Maqasid Syariah dimensions.  


1969 ◽  
Vol 21 ◽  
pp. 965-969 ◽  
Author(s):  
M. J. Billis

Let P be the class of all finite groups G whose powers GI have no countably infinite factor groups. Neumann and Yamamuro (1) proved that if G is a finite non-Abelian simple group, then G ∈ P. We generalize this result by proving the following theorem.THEOREM. A finite group G ∈ P if and only if G is perfect2. Inheritance properties ofP.P1. If G ∈ P and N is normal in G, then G/N ∈ P.Proof. Since (G/N)I is isomorphic to GI/NI it is clear that factor groups of (G/N)I are isomorphic to factor groups of GI, and hence finite or uncountable.P2. If G = HK, where H ∈ P and K ∈ P, then G ∈ P.Proof. We show that homomorphic images of GI are either finite or uncountable. Let ϕ be a homomorphism of GI. Then GIϕ = (HK)Iϕ = (HI/KI)ϕ = (HIϕ) (KIϕ). Since HIϕ and KIϕ must be finite or uncountable, the conclusion follows.


2015 ◽  
Vol 30 ◽  
Author(s):  
K. Sivakumar ◽  
Ravindran G. ◽  
Kavita Bisht

Extensions of the Schur complement and the principal pivot transform, where the usual inverses are replaced by the Moore-Penrose inverse, are revisited. These are called the pseudo Schur complement and the pseudo principal pivot transform, respectively. First, a generalization of the characterization of a block matrix to be an M-matrix is extended to the nonnegativity of the Moore-Penrose inverse. A comprehensive treatment of the fundamental properties of the extended notion of the principal pivot transform is presented. Inheritance properties with respect to certain matrix classes are derived, thereby generalizing some of the existing results. Finally, a thorough discussion on the preservation of left eigenspaces by the pseudo principal pivot transformation is presented.


2019 ◽  
Vol 70 (3) ◽  
pp. 1135-1156
Author(s):  
Ralf Meyer ◽  
Devarshi Mukherjee

Abstract We define a dagger algebra as a bornological algebra over a discrete valuation ring with three properties that are typical of Monsky–Washnitzer algebras, namely, completeness, bornological torsion-freeness and a certain spectral radius condition. We study inheritance properties of the three properties that define a dagger algebra. We describe dagger completions of bornological algebras in general and compute some non-commutative examples.


Sign in / Sign up

Export Citation Format

Share Document