We extend earlier examples provided by Schoen, Nori and Bloch to show that when a surface has the property that the kernel of its Albanese map is non-zero over the field of complex numbers, this kernel is non-zero over a field of transcendence degree one. This says that the conjecture of Bloch and Beilinson that this kernel is zero for varieties over number fields is precise in the sense that i...

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Healing aims to restore the wholeness of persons by restoring the unity of mind and body disrupted by disease. Transcendence promotes healing by altering or cultivating beliefs that can modulate the body's response to pain or make sense of pain. This in turn can produce an emotional response that enables people to cope with chronic or terminal illness. I explain transcendence in terms of a moni...

Let A be a commutative R–algebra of finite transcendence degree d ∈ N. We investigate the relationship between the subring of (geometrically) bounded elements H(A) := {a ∈ A | ∃ν ∈ N : |a| ≤ ν on SperA} and the subring of arithmetically bounded elements H (A) := {a ∈ A | ∃ν ∈ N : ν + a and ν − a are sums of squares in A}. Obviously, H ′(A) ⊆ H(A). In 1991, Schmüdgen proved the remarkable theore...

We characterize the principal differential ideals of a polynomial ring in n indeterminates with coefficients in the ring of differential polynomials in n indeterminates and derivation given by a “general” element of Lie(GLn) and use this characterization to construct a generic Picard-Vessiot extension for GLn. In the case when the differential base field has finite transcendence degree over its...

In this paper we show that the fields of rational invariants over the irreducible components of the module varieties for an acyclic gentle algebra are purely transcendental extensions. Along the way, we exhibit for such fields of rational invariants a transcendence basis in terms of Schofield’s determinantal semi-invariants. We also show that the moduli space of modules over a regular irreducib...

We state two conjectures, which together would yield strong results of algebraic independence related to Schanuel’s Conjecture. Partial results on these conjectures are also discussed. 1991 Mathematics Subject Classification: 11J82, 11J85.

PURPOSE/OBJECTIVES To pilot a second support group intervention study promoting self-transcendence perspectives and activities and to document changes over time in well-being in support group participants compared with nonparticipants. DESIGN Quasiexperimental, partial randomization, preference trial design. SETTING An urban breast cancer resource center established by survivors. SAMPLE 4...

objective: the current study aimed at investigating the role of patience and its components in predicting self-control among high school students in shiraz, iran. methods: the statistical population of the study included all high school students of shiraz. three hundred and thirty-two students (161 females and 171 males) were recruited via cluster sampling method. the subjects participated in t...

In this work, we define the concept of Liouville numbers as well as the standard construction to obtain Liouville numbers and we prove their most important properties: irrationality and transcendence. This is historically interesting since Liouville numbers constructed in the standard way where the first numbers that were proven to be transcendental. The proof is very elementary and requires on...