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In this paper, I correct errors in my paper (Kodai Math. J. (2015)) about gamma filtrations for classifying spaces for abelian p-groups which are not elementary. We also extend Chetard's results for such 2-groups to p-groups for odd prime.

K-Theory and Homology · Mathematics 2019-07-23 Nobuaki Yagita

We make corrections on the paper by Sugino [{\it JHEP} {\bf 0501} (2005) 016].

High Energy Physics - Lattice · Physics 2007-05-23 A. Kwang-Hua Chu

Our aim is to show the way we pass from the results of ordered semigroups (or semigroups) to ordered $\Gamma$-semigroups (or $\Gamma$-semigroups). The results of this note have been transferred from ordered semigroups. The concept of…

General Mathematics · Mathematics 2013-07-18 Niovi Kehayopulu

We keep the definition of intra-regularity (left regularity) of $po$-$\Gamma$-semigroups introduced in arXiv: 1511.00679 which is absolutely necessary for the investigation. Being able to describe the form of the elements of the principal…

General Mathematics · Mathematics 2015-12-02 Niovi Kehayopulu

This note corrects a minor misstatement in section 2 of the paper in the title (arXiv:0808.3426). It also addresses some related issues. The error does not affect the main results of that paper, but nevertheless this corrigendum seems…

Representation Theory · Mathematics 2009-10-27 Thomas J. Haines

The goal of the course was a review of results mainly due to M. Olbrich and the first author. We consider a discrete cocompact subgroup $\Gamma$ of a semisimple Lie group $G$. We relate the group cohomology of $\Gamma$ with coefficients in…

Representation Theory · Mathematics 2007-05-23 Ulrich Bunke , Robert Waldmueller

[Note: After the first version of this manuscript was uploaded, the authors of [Berta, Brand\~ao, Gour, Lami, Plenio, Regula, and Tomamichel, Quantum 7, 1103 (2023)] pointed out an issue about a part of the claims in the previous version of…

Quantum Physics · Physics 2024-02-27 Hayata Yamasaki , Kohdai Kuroiwa

(Translation from the original French:) We characterize the rings $A$ and groups $G$ for which the group rings $A [G]$ are local, semi-local, or left perfect. The recent work of M. P. Malliavin and J. L. Pascaud permits the completion of…

Rings and Algebras · Mathematics 2018-04-24 Guy Renault , Ryan C. Schwiebert

For each subgroup of GL_2(F_p) or order divisible by p, generated by (pseudo-)reflections, we compute the ideals of stable and generalized invariants. These groups and these ideals are related to the cohomology of compact Lie groups,…

Representation Theory · Mathematics 2016-06-30 Jaume Aguadé

Necessary and sufficient conditions are given for the completed group algebras of a compact p-adic analytic group with coefficient ring the p-adic integers or the field of p elements to be prime, semiprime and a domain. Necessary and…

Rings and Algebras · Mathematics 2007-05-23 Konstantin Ardakov , Kenneth A. Brown

We develop the approach via quasihomomorphisms and the universal algebra $qA$ to Kasparov's $KK$-theory, so as to cover versions of $KK$ such as $KK^{nuc}$, $KK^G$ and ideal related $KK$-theory.

K-Theory and Homology · Mathematics 2024-04-11 Joachim Cuntz , James Gabe

This article has been withdrawn by arXiv administrators due to plagiarized content from arXiv:1010.2469.

Logic · Mathematics 2011-09-08 Nayyar Mehmood , I. H Qureshi

We indicate a natural generalization of the concept of subgroup commutativity degree of a finite group and a list of open problems on these new concepts.

Group Theory · Mathematics 2018-06-01 Marius Tărnăuceanu

In 2011, a topic containing the concepts of upper and lower periodic subsets of (basic) algebraic structures was introduced and studied. The concept of ``upper periodic subsets'' can be considered as a generalized topic of ideals and…

Group Theory · Mathematics 2024-08-21 M. H. Hooshmand

We introduce a notion of generalized homogeneous derivations on graded rings as a natural extension of the homogeneous derivations defined by Kanunnikov. We then define gr-generalized derivations, which preserve the degrees of homogeneous…

Rings and Algebras · Mathematics 2026-03-24 Yassine Ait Mohamed

This paper continues the study of K-theoretic invariants for semigroup C*-algebras attached to ax+b-semigroups over rings of algebraic integers in number fields. We show that from the semigroup C*-algebra together with its canonical…

Operator Algebras · Mathematics 2015-03-06 Xin Li

A corrigendum of a former result on semisimplicity of the category of integrable modules of a q-boson algebra is given with a counter example.

Quantum Algebra · Mathematics 2009-04-14 Youjun Tan

The paper gives a short account of the contents of "Regular Algebraic K-Theory For Groups" by the author and its connections with other homology and K-theories.

K-Theory and Homology · Mathematics 2014-02-05 Ulrich Haag

In this article, we introduce a generalization of the concept of graded $r$-ideals in graded commutative rings with nonzero unity. Let $G$ be a group, $R$ be a $G$-graded commutative ring with nonzero unity and $GI(R)$ be the set of all…

Commutative Algebra · Mathematics 2021-04-13 Rashid Abu-Dawwas , Malik Bataineh , Ghida'a Al-Qura'an

We deal with involution ordered semigroups possessing a greatest element, we introduce the concepts of $*$-regularity, $*$-intra-regularity, $*$-bi-ideal element and $*$-quasi-ideal element in this type of semigroups and, using the right…

General Mathematics · Mathematics 2018-02-19 Niovi Kehayopulu