It is well known that the Chern classes ci of a rank n vector bundle on P N , generated by global sections, are non-negative if i ≤ n and vanish otherwise. This paper deals with the following question: does the above result hold for the wider class of reflexive sheaves? We show that the Chern numbers ci with i ≥ 4 can be arbitrarily negative for reflexive sheaves of any rank; on the contrary fo...

The article analyzes a wide range of philosophical and anthropological subjects in the works French philosopher Paul Ricoeur. Rejecting idea system-creation, Ricoeur creates generalized image person form polemical, sometimes marginal notes relation to other European thinkers. His reveal an original view on problems human subjectivity, Ego, personality, selfness, identity, etc. author shows that...

Let X be a compact Hausdorff space and let H be a separable Hilbert space. We prove that the group of all order automorphisms of the C∗-algebra C(X)⊗ B(H) is algebraically reflexive.

Smarandache initiated neutrosophic sets (NSs) which can be used as a mathematical tool for dealing with indeterminate and inconsistent information. In order to apply NSs conveniently, single valued neutrosophic sets (SVNSs) were proposed by Wang et al. In this paper, we propose single valued neutrosophic relations (SVNRs) and study their properties. The notions of anti-reflexive kernel, symmetr...

The subject matter fallacy is the fallacy of supposing that the content of a statement or a belief consists in the conditions the truth of the statement or belief puts on its subject matter: the objects the statement or belief is about. Consider my belief that Hillary Clinton is a resident of New York. The subject matter of this belief are the things and conditions (properties, relations) it is...

As an educator for inclusion and social justice, it is essential to be self-reflective about all aspects of identity that relate diversity differential power relations. part this commitment, I am a group critical academics practitioners who comprise the South African Education Research Association (SAERA) Special Interest Group on Self-Reflexive Methodologies. In paper, include reflections two ...