Chapter 9 Isomorphism and Embeddability Between Relations, Local Isomorphism, Free Interpretability, Constant Relation, Chainable and Monomorphic Relation

Keyword(s):  
2018 ◽  
pp. 1-16 ◽  
Author(s):  
Desmond Tutu Ayentimi ◽  
John Burgess ◽  
Kantha Dayaram

AbstractLocal isomorphism constitutes the regulatory, cognitive and normative profile of a host country. The regulatory institutional setting reflects the rules and legislation governing collective bargaining agreements, trade unions, local content laws and employment relationships. The cultural or cognitive dimension supports the widely held cultural and social knowledge and the normative profile acknowledges the influences of social groups and organizations on acceptable normative behaviour. Earlier literature lends support to the importance of institutional profile and its influence on the design and implementation of multinational enterprises’ human resource management policies and practices. This paper seeks to advance the concept of local isomorphism and highlight the implications of local isomorphism for future research on the transfer of multinational enterprises’ human resource management practices across and between subsidiaries.


Filomat ◽  
2020 ◽  
Vol 34 (12) ◽  
pp. 4005-4014
Author(s):  
Ali Pakdaman ◽  
Mehdi Zakki

It is known that every digital covering map p:(E,k) ? (B,?) has the unique path lifting property. In this paper, we show that its inverse is true when the continuous surjective map p has no conciliator point. Also, we prove that a digital (k,?)-continuous surjection p:(E,k)? (B,?) is a digital covering map if and only if it is a local isomorphism, when all digital spaces are connected. Moreover, we find out a loop criterion for a digital covering map to be a radius n covering map.


2016 ◽  
Vol 09 (03) ◽  
pp. 1650053 ◽  
Author(s):  
P. A. Azeef Muhammed ◽  
A. R. Rajan

A completely simple semigroup [Formula: see text] is a semigroup without zero which has no proper ideals and contains a primitive idempotent. It is known that [Formula: see text] is a regular semigroup and any completely simple semigroup is isomorphic to the Rees matrix semigroup [Formula: see text] (cf. D. Rees, On semigroups, Proc. Cambridge Philos. Soc. 36 (1940) 387–400). In the study of structure theory of regular semigroups, Nambooripad introduced the concept of normal categories to construct the semigroup from its principal left (right) ideals using cross-connections. A normal category [Formula: see text] is a small category with subobjects wherein each object of the category has an associated idempotent normal cone and each morphism admits a normal factorization. A cross-connection between two normal categories [Formula: see text] and [Formula: see text] is a local isomorphism [Formula: see text] where [Formula: see text] is the normal dual of the category [Formula: see text]. In this paper, we identify the normal categories associated with a completely simple semigroup [Formula: see text] and show that the semigroup of normal cones [Formula: see text] is isomorphic to a semi-direct product [Formula: see text]. We characterize the cross-connections in this case and show that each sandwich matrix [Formula: see text] correspond to a cross-connection. Further we use each of these cross-connections to give a representation of the completely simple semigroup as a cross-connection semigroup.


2017 ◽  
Vol 29 (20) ◽  
pp. 204003 ◽  
Author(s):  
C Lin ◽  
P J Steinhardt ◽  
S Torquato

2020 ◽  
Vol 49 (6) ◽  
pp. 1210-1232
Author(s):  
Noomi Weinryb

This article takes a comparative qualitative approach to explore the intertwined external accountability and legitimacy attempts of independently wealthy philanthropists. By comparing accountability forums and institutional logics stated by philanthropists, it is investigated to whom they are externally accountable and how they legitimate their controversial funding of public goods. The study compares the external accountability and legitimacy attempts of philanthropists with that of public agencies, corporations, and fundraising-dependent nonprofits. Empirically, this is a cross-sectional study of funders supporting human embryonic stem cell research in either California or Sweden. The study shows that it is through local isomorphism, rather than any specific accountability forum or institutional logic, that philanthropists are accountable and thus legitimate their giving. This is in contrast to other types of funders, which are more similar within each form when comparing accountability forums across societies, and more similar within societies in their usage of institutional logics, with certain patterned statements. In addition, philanthropists in both societies are more detached than any other type of funder as regards both specific patient populations and the general electorate. This finding raises questions on what philanthropists’ private funding for public purposes actually entails.


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