Zobrazeno 1 - 10
of 300
pro vyhledávání: '"16e50"'
Autor:
Herrmann, Christian
Bruns and Roddy constructed a $3$-generated modular ortholattice $L$ which cannot be embedded into any complete modular ortholattice. Motivated by their approach, we use shift operators to construct a $*$-regular $*$-ring $R$ of endomorphisms of an i
Externí odkaz:
http://arxiv.org/abs/2408.16437
We give a number of constructions where inverse limits seriously degrade properties of regular rings, such as unit-regularity, diagonalisation of matrices, and finite stable rank. This raises the possibility of using inverse limits to answer the long
Externí odkaz:
http://arxiv.org/abs/2405.06837
Autor:
Nazemian, Zahra
For every infinite cardinal number $\kappa$, $\kappa$-monoids and their realization have recently been introduced and studied by Nazemian and Smertnig. A $\kappa$-monoid $H$ has a realization to a ring $R$ if there exists an element $x \in H$ such th
Externí odkaz:
http://arxiv.org/abs/2404.15769
Autor:
Baccella, Giuseppe
For every partially ordered sets I, having a finite cofinal subset, and every field K we build a unital, locally matricial and hence unit-regular K-algebra B(I) such that the lattice of all its ideals is order isomorphic to the lattice of all lower s
Externí odkaz:
http://arxiv.org/abs/2312.12194
Autor:
Herrmann, Christian
Based on an analogue for systems of partial isomorphisms between lower sections in a complemented modular lattice we prove that principal right ideals $aR \cong bR$ in a (von Neumann) regular ring $R$ are perspective if $aR \cap bR$ is of finite heig
Externí odkaz:
http://arxiv.org/abs/2310.17298
In the present paper, we introduce and study counterparts of Rickart involutive algebras, i.e., almost inner Rickart algebras. We prove that a nilpotent associative algebra, which has no nilpotent elements with nonzero square roots, is an almost inne
Externí odkaz:
http://arxiv.org/abs/2310.11519
Autor:
Kimuli, Philly Ivan, Ssevviiri, David
Publikováno v:
International Electronic Journal of Algebra, 2022
Different and distinct notions of regularity for modules exist in the literature. When these notions are restricted to commutative rings, they all coincide with the well-known von-Neumann regularity for rings. We give new characterizations of these d
Externí odkaz:
http://arxiv.org/abs/2301.02900
Autor:
Kimuli, Philly Ivan, Ssevviiri, David
Publikováno v:
Rend. Circ. Mat. Palermo, II. Ser (2022)
Let $R$ be a commutative ring, $M$ an $R$-module and $\varphi_a$ be the endomorphism of $M$ given by right multiplication by $a\in R$. We say that $M$ is {\it weakly-morphic} if $M/\varphi_a(M)\cong \ker(\varphi_a)$ as $R$-modules for every $a$. We s
Externí odkaz:
http://arxiv.org/abs/2205.13794
Autor:
Schneider, Friedrich Martin
We prove that, if a discrete group $G$ is not inner amenable, then the unit group of the ring of operators affiliated with the group von Neumann algebra of $G$ is non-amenable with respect to the topology generated by its rank metric. This provides e
Externí odkaz:
http://arxiv.org/abs/2211.03537
Autor:
Cui, Jian, Danchev, Peter
Publikováno v:
Communications in Mathematics, Volume 31 (2023), Issue 1 (November 11, 2022) cm:10273
Recall that a ring R is called strongly pi-regular if, for every a in R, there is a positive integer n, depending on a, such that a^n belongs to the intersection of a^{n+1}R and Ra^{n+1}. In this paper we give a further study of the notion of a stron
Externí odkaz:
http://arxiv.org/abs/2211.03235