Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Azarang, Alborz"'
Autor:
Azarang, Alborz
The structure and the existence of maximal subrings in division rings are investigated. We see that if $R$ is a maximal subring of a division ring $D$ with center $F$ and $N(R)\neq U(R)\cup \{0\}$, where $N(R)$ is the normalizer of $R$ in $D$, then e
Externí odkaz:
http://arxiv.org/abs/2410.09051
Autor:
Azarang, Alborz
The existence of maximal subrings in certain non-commutative rings, especially in rings which are integral over their centers, are investigated. We prove that if a ring $T$ is integral over its center, then either $T$ has a maximal subring or $T/J(T)
Externí odkaz:
http://arxiv.org/abs/2410.10822
Autor:
Azarang, Alborz
Let $R$ be a maximal subring of a ring $T$. In this paper we study relation between some important ideals in the ring extension $R\subseteq T$. In fact, we would like to find some relation between $Nil_*(R)$ and $Nil_*(T)$, $Nil^*(R)$ and $Nil^*(T)$,
Externí odkaz:
http://arxiv.org/abs/2406.12891
Autor:
Azarang, Alborz
Let $R$ be a maximal subring of a ring $T$, and $(R:T)$, $(R:T)_l$ and $(R:T)_r$ denote the greatest ideal, left ideal and right ideal of $T$ which are contained in $R$, respectively. It is shown that $(R:T)_l$ and $(R:T)_r$ are prime ideals of $R$ a
Externí odkaz:
http://arxiv.org/abs/2406.12890
Autor:
Azarang, Alborz, Parsa, Nasrin
In this paper we study maximal subrings up to isomorphism of fields. It is shown that each field with zero characteristic has infinitely many maximal subrings up to isomorphism. If $K$ is an algebraically closed field and $x$ is an indeterminate over
Externí odkaz:
http://arxiv.org/abs/2308.12306
Autor:
Azarang, Alborz
Let $R$ be a commutative ring, we say that $\mathcal{A}\subseteq Spec(R)$ has prime avoidance property, if $I\subseteq \bigcup_{P\in\mathcal{A}}P$ for an ideal $I$ of $R$, then there exists $P\in\mathcal{A}$ such that $I\subseteq P$. We exactly deter
Externí odkaz:
http://arxiv.org/abs/2010.03248
Autor:
Azarang, Alborz
It is shown that if $R$ is a ring, $p$ a prime element of an integral domain $D\leq R$ with $\bigcap_{n=1}^\infty p^nD=0$ and $p\in U(R)$, then $R$ has a conch maximal subring (see \cite{faith}). We prove that either a ring $R$ has a conch maximal su
Externí odkaz:
http://arxiv.org/abs/2009.05995
Autor:
Azarang, Alborz
We give an undergraduate short and simple proof for Zariski's lemma.
Comment: 2 page
Comment: 2 page
Externí odkaz:
http://arxiv.org/abs/1506.08376
Autor:
Azarang, Alborz
Fields with only finitely many maximal subrings are completely determined. We show that such fields are certain absolutely algebraic fields and give some characterization of them. In particular, we show that the following conditions are equivalent fo
Externí odkaz:
http://arxiv.org/abs/1412.4983
Autor:
Azarang, Alborz1 (AUTHOR) a_azarang@scu.ac.ir
Publikováno v:
Bulletin of the Iranian Mathematical Society. Jun2022, Vol. 48 Issue 3, p1121-1125. 5p.
