Zobrazeno 1 - 10
of 15
pro vyhledávání: '"16E50, 16W10"'
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
Autor:
Danchev, Peter V.
We introduce and investigate the so-called D-regularly nil clean rings by showing that these rings are, in fact, a non-trivial generalization of the classical von Neumann regular rings and of the strongly $\pi$-regular rings. Some other close relatio
Externí odkaz:
http://arxiv.org/abs/1912.02579
Autor:
Herrmann, Christian, Niemann, Niklas
We show that a subdirectly irreducible *-regular ring admits a representation within some inner product space provided so does its ortholattice of projections.
Externí odkaz:
http://arxiv.org/abs/1908.00304
Autor:
Herrmann, Christian
We show that any semiartinian subdirectly irreducible *-regular ring R admits a representation within some inner product space.
Externí odkaz:
http://arxiv.org/abs/1907.13367
Autor:
Herrmann, Christian
Given a subdirectly irreducible *-regular ring R, we show that R is a homomorphic image of a regular *-subring of an ultraproduct of the (simple) eRe, e in the minimal ideal of R. Moreover, unit-regularity is shown for every member of the variety gen
Externí odkaz:
http://arxiv.org/abs/1904.04505
Autor:
Herrmann, Christian
We discuss somew steps toward a possible proof of a von Neumann regular ring with involution being directly finite provided that it admits a representation as a ring of endomorphisms (the involution given by taking adjoints) of a vector space endowed
Externí odkaz:
http://arxiv.org/abs/1901.03555
Autor:
Herrmann, Christian, Niemann, Niklas
This paper aims at the following results: \begin{enumerate} \item The class of all $*$-regular rings forms a variety. \item A subdirectly irreducible $*$-regular ring $R$ is faithfully representable (i.e. isomorphic to a subring of an endomorphisms r
Externí odkaz:
http://arxiv.org/abs/1811.01392
Autor:
Herrmann, Christian, Semenova, Marina
Faithful representations of regular $\ast$-rings and modular complemented lattices with involution within orthosymmetric sesquilinear spaces are studied within the framework of Universal Algebra. In particular, the correspondence between classes of s
Externí odkaz:
http://arxiv.org/abs/1503.02438
Autor:
Niklas Niemann, Christian Herrmann
Publikováno v:
Acta Scientiarum Mathematicarum. 86:105-115
We show that a subdirectly irreducible *-regular ring admits a representation within some inner product space provided so does its ortholattice of projections.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c34281b542a2ada8f9ba9e43c7a3718
https://doi.org/10.14232/actasm-019-837-x
https://doi.org/10.14232/actasm-019-837-x
Autor:
Christian Herrmann
We show that any semiartinian *-regular ring R is unit-regular; if, in addition, R is subdirectly irreducible then it admits a representation within some inner product space.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0a22992eb86723dadd8c5269ee5acd4