Sufficient conditions on a space are given which guarantee that the K-theory ring is an invariant of the adic genus. An immediate consequence of this result about adic genus is that for any positive integer n, the power series ring Z[[x1, . . . , xn]] admits uncountably many pairwise non-isomorphic λ-ring structures.

Braces were introduced by Rump to study non-degenerate involutive set-theoretic solutions of the Yang–Baxter equation. To study non-involutive solutions one needs skew braces, a non-commutative analog of braces. In this talk we discuss basic properties of skew braces and how these structures are related to the Yang-Baxter equation. We also discuss interesting connections between skew braces and...

We give a criterium of holomorphy for some type formal power series. This gives a stronger form of a Rothstein's type extension theorem for a particular ring of holomorphic functions. We consider the set R ⊂ C[[z 1 , z 2 ]], z 1 , z 2 ∈ C k × C m of formal power series of the form f (z) = f (z 1 , z 2) = n P n (z 2)z n 1 where P n is a polynomial in m variables of total degree d 0 P n ≤ C 0 + C...

In the low power design of integrated circuits, multiple power modes and clock gating are the two common techniques to reduce dynamic power consumption. In the multiple power modes designs, replacing some of the normal buffers with adjustable delay buffers (ADBs) and assign different delay values in different power modes is one of the promising solutions to satisfy the clock skew constraint. On...

This paper presents a survey of low-power digital Gallium Arsenide logic applicable to high performance VLSI circuits and systems and proposes new design concepts in methodology and architecture based on implementation of Pseudo-Dynamic Latched Logic in order to achieve reasonable power-delay-area tradeoff The approach is highly suitable for self-timed systems where the complexities of clock sk...

The goal of this article is to define multivariate polynomials in arbitrary number of indeterminates and then to prove that they constitute a ring (over appropriate structure of coefficients). The introductory section includes quite a number of auxiliary lemmas related to many different parts of the MML. The second section characterizes the sequence flattening operation, introduced in [9], but ...

We design a non-commutative version of the Peterson-Gorenstein-Zierler decoding algorithm for a class of codes that we call skew RS codes. These codes are left ideals of a quotient of a skew polynomial ring, which endow them of a sort of non-commutative cyclic structure. Since we work over an arbitrary field, our techniques may be applied both to linear block codes and convolutional codes. In p...

The goal of this article is to define multivariate polynomials in arbitrary number of indeterminates and then to prove that they constitute a ring (over appropriate structure of coefficients). The introductory section includes quite a number of auxiliary lemmas related to many different parts of the MML. The second section characterizes the sequence flattening operation, introduced in [7], but ...

A hybrid network is proposed in dynamic CMOS XOR/XNOR gate to avoid signal skew and reduce the power consumption. Compared to the standard N type dynamic gate leakage power, dynamic power and layout area of the novel XOR/XNOR gate are reduced. In this paper we studied different technologies, their merits and demerits. Comparison of different technologies is completely on the basis of leakage po...