In the p-th cyclotomic field Qpn , p a prime number, n ∈ N, the prime p is totally ramified and the only ideal above p is generated by ωn = ζpn − 1, with the primitive p-th root of unity ζpn = e 2πi pn . Moreover these numbers represent a norm coherent set, i.e. NQpn+1/Qpn(ωn+1) = ωn. It is the aim of this article to establish a similar result for the ray class field Kpn of conductor p over an ...

The main object of this note is to study the conormal module M and the computation of the second symbolic power ḡ of an ideal ḡ in the residue ring O/h of a polynomial ring O over a field of characteristic zero. The torsion part T (M) of M and the torsion free module M/T (M) are expressed by the primitive ideal of g relative to h. Two characterizations for M/T (M) to be free are proved. Some im...

Certified mail is the fair exchange of a message for a receipt, i.e., the recipient gets the message if and only if the sender gets a receipt. It is an important primitive for electronic commerce and other atomicity services. Certified-mail protocols are known in the literature, but there was no rigorous definition yet, in particular for optimistic protocols and for many interleaved executions....

Peripheral primitive neuroectodermal tumor (pPNET) is a highly aggressive small round cell tumor belonging to PNET/Ewing sarcoma family. Ovarian tumors composed of primitive neuroectodermal elements are extremely rare. Herein we reported two cases of peripheral primitive neuroectodermal tumors of ovary in two patients with different clinical presentations. Definite diagnoses were made bas...

Abstract We compute the generator rank of a subhomogeneous $C^*\!$ -algebra in terms covering dimension pieces its primitive ideal space corresponding to irreducible representations fixed dimension. deduce that every $\mathcal {Z}$ -stable approximately algebra has one, which means generic element such an is generator. This leads strong solution problem for classifiable, simple, nuclear -algebr...

primitive neuroectodermal tumors of the kidney are rare tumors representing about 1% of all sarcomas. extraskeletal primitive neuroectodermal tumors may be found in the genitourinary tract, the testes, ovaries, uterus, or pancreas. renal primitive neuroec- todermal tumors are frequently aggressive and almost 30% of all newly diagnosed cases present with distant metastases. surgical intervention...

In this thesis we consider different problems related to provable security and indifferentiability framework. Ideal primitives such as random oracles, ideal ciphers are theoretical abstractions of cryptographic hash functions and block ciphers respectively. These idealized models help us to argue security guarantee for various cryptographic schemes, for which standard model security proofs are ...

In this paper, we present a practical and provably secure two-pass AKE protocol from ideal lattices, which is conceptually simple and has similarities to the Diffie-Hellman based protocols such as HMQV (CRYPTO 2005) and OAKE (CCS 2013). Our protocol does not rely on other cryptographic primitives—in particular, it does not use signatures—simplifying the protocol and resting the security solely ...