A retraction from a structure P to its substructure Q is a homomorphism from P onto Q that is the identity on Q. We present an algebraic condition which completely characterises all posets and all reflexive graphs Q with the following property: the class of all posets or reflexive graphs, respectively, that admit a retraction onto Q is first-order definable.

Bourdieu’s emphasis on the socialised subjectivity of habitus is increasingly used in discussions of ‘identity’ to indicate the limits to reflexivity, situating ‘identity’ in tacit practice. In emphasising the dispositional nature of ‘identity’, analysts also acknowledge more explicitly reflexive and selfconsciously mobilised aspects, however Bourdieu’s restrictive treatment of reflexivity make...

Recent poststructuralist theories of identity posit identities as being discursively constructed in interactions with society, institutions, and individuals. This study used a Linguistic Ethnographic framework to investigate the discursive identity construction of two English teachers, one ‘non-native’ English speaker, and one ‘native’ English speaker, teaching English in a tertiary institution...

Identity criteria are used to confer ontological respectability: Only entities with clearly determined identity criteria are ontologically acceptable. From a logical point of view, identity criteria should mirror the identity relation in being reflexive, symmetrical, and transitive. However, this logical constraint is only rarely met. More precisely, in some cases, the relation representing the...

Isomorphism is an equivalence relation that is less stringent than identity (equality), and it is useful for synthetic analysis, since it allows one to find reflexive routes for targets even when they do not have an element of symmetry.

In this paper we try to justify our way of looking for an alternative approach to quantum mechanics, which is based on a non-classical logic. We consider two specific questions related to quantum theory, namely, entanglement and the indiscernibility of quanta. We characterize individuals, and then explain in what sense entanglement is a concept which can be applied to individuals in a restricte...

A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$‎. ‎An $ntimes n$‎ ‎complex matrix $A$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=-PAP$)‎. ‎In this paper‎, ‎we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexiv...

Purpose I provide an exploration and critique of reflexive research practice, which explores the nature reflexivity, its relevance to influence on accounting academic identity formation. Design/methodology/approach The paper gives detailed explanations three different approaches reflexivity dependent perspectives reality exemplifies chosen approach – intersubjective reflexivity. It draws from p...

We prove that the notions of finite strict singularity, strict singularity and weak compactness coincide for operators defined on various spaces: the disc algebra, subspaces of C(K) with reflexive annihilator and subspaces of the Morse-TransueOrlicz space Mq (Ω, μ) with q > 2.