Let En be the n-th Lubin-Tate spectrum at a prime p. There is a commutative S-algebra E n whose coefficients are built from the coefficients of En and contain all roots of unity whose order is not divisible by p. For odd primes p we show that E n does not have any non-trivial connected finite Galois extensions and is thus separably closed in the sense of Rognes. At the prime 2 we prove that the...

We study hereditary history-preserving (hhp-) bisimilarity, a canonical behavioural equivalence in the true concurrent spectrum, by means of logics and automata. We first show that hhp-bisimilarity on prime event structures can be characterised in terms of a simple logic whose formulae just observe events in computations and check their executability. The logic suggests a characterisation of hh...

Let $G$ be a finitely generated abelian group and $M$ be a $G$-graded $A$-module. In general, $G$-associated prime ideals to $M$ may not exist. In this paper, we introduce the concept of $G$-attached prime ideals to $M$ as a generalization of $G$-associated prime ideals which gives a connection between certain $G$-prime ideals and $G$-graded modules over a (not necessarily $G$-graded Noetherian...

We present a new study of the 1.7 Mpc KAT-7-discovered giant radio galaxy, J0133$-$1302, which was carried out using GMRT data at 323 and 608 MHz. This source is located RA $01^h33^m13^s$ Dec $-13^{\circ}03^\prime00^{\prime\prime}$ has photometric redshift $\sim$0.3. discovered unusual morphological properties include lobes that are exceptionally asymmetric, where upper lobe much further from c...

In this paper, we characterize residuated lattices for which the topological space of prime ideals is a Noetherian space. The notion i-Noetherian lattice introduced and related properties are investigated. We proved that iff every ideal principal. Moreover, show has spectrum it i-Noetherian.

Co-prime sampling and co-prime arrays have recently been shown to improve active and passive sensing in radar and underwater acoustics using both narrowband and wideband signal platforms. Co-prime processing provides a systematical framework for sparse sampling and array configuration with increased aperture and improved spatial resolution. Co-prime based approaches to sampling and arrays can c...

The ideal I 1 generated by the 2 2 quantum minors in the coordinate algebra of quantum matrices, O q (M m;n (k)), is investigated. Analogues of the First and Second Fundamental Theorems of Invariant Theory are proved. In particular, it is shown that I 1 is a completely prime ideal, that is, O q (M m;n (k))=I 1 is an integral domain, and that O q (M m;n (k))=I 1 is the ring of coinvariants of a ...

Feynman’s prescription for a quantum computer was to find a Hamitonian for a system that could serve as a computer. Here we concentrate in a system to solve the problem of decomposing a large number N into its prime factors. The spectrum of this computer is exactly calculated obtaining the factors of N from the arithmetic function that represents the energy of the computer. As a corollary, in t...

In this paper, we define prime (semiprime) hyperideals and prime(semiprime) fuzzy hyperideals of semihypergroups. We characterize semihypergroupsin terms of their prime (semiprime) hyperideals and prime (semiprime)fuzzyh yperideals.