Zobrazeno 1 - 10
of 117
pro vyhledávání: '"ASGHARZADEH, MOHSEN"'
In this paper, we investigate problems concerning when the residue field $k$ of a local ring $(R,\frak m$, $k)$ appears as a direct summand of syzygy modules, from two perspectives. First, we prove that the following conditions are equivalent: (i) $k
Externí odkaz:
http://arxiv.org/abs/2410.12227
Assuming G\"{o}del's axiom of constructibility $\bold V=\bold L,$ we present a characterization of those groups $L$ for which there exist arbitrarily large groups $H$ such that $aut(H) \cong L$. In particular, we show that it suffices to have one suc
Externí odkaz:
http://arxiv.org/abs/2407.09279
Autor:
Asgharzadeh, Mohsen
We study some homological properties of the conductor ideal.
Externí odkaz:
http://arxiv.org/abs/2404.02005
Autor:
Asgharzadeh, Mohsen
We study $cd(M,N):=\sup\{j:H^j_{m}(M,N)\neq0\}$, and we prove the following over $AB$-rings: $cd(M,N)<\infty$ iff $cd(M, N)\leq2 dim R$. For locally free over the punctured spectrum, we present the better bound, namely $cd(M, N)<\infty$ iff $cd(M, N)
Externí odkaz:
http://arxiv.org/abs/2401.14133
Recently, Paolini and Shelah have constructed absolutely Hopfian torsion-free abelian groups of any given size. In contrast, we show that this is not necessarily the case for absolutely co-Hopfian groups. We use the infinitary logic to show that ther
Externí odkaz:
http://arxiv.org/abs/2309.16997
In this paper, we deal with the notions of naturality from category theory and definablity from model theory and their interactions. In this regard, we present three results. First, we show, under some mild conditions, that naturality implies definab
Externí odkaz:
http://arxiv.org/abs/2309.02090
Autor:
Asgharzadeh, Mohsen
We search for principal ideals. As a sample, let $R$ be a strongly-normal, almost-factorial, and complete-intersection local ring with a prime ideal $P$ of height one. If $depth(R/ P)\geq dim R-2$, we show $P$ is principal. As an immediate corollary,
Externí odkaz:
http://arxiv.org/abs/2308.14465
Autor:
Asgharzadeh, Mohsen
We study some aspects of distinguished finitely generated modules of finite injective dimension. Following Bass' conjecture, this implies that the ring is Cohen-Macaulay. We derive some properties of rings from them. Our list of properties contains t
Externí odkaz:
http://arxiv.org/abs/2301.01105
Autor:
Asgharzadeh, Mohsen, Mahdavi, Elham
Matlis proved a lot of homological properties of the fraction field of an integral domain. In this paper, we simplify and extend some of them from 1-dimensional (resp. rank one) cases to the higher dimensional (resp. finite rank) cases. For example,
Externí odkaz:
http://arxiv.org/abs/2212.10332
Publikováno v:
Pacific J. Math. 327 (2023) 183-232
For a given cardinal $\lambda$ and a torsion abelian group $K$ of cardinality less than $\lambda$, we present, under some mild conditions (for example $\lambda=\lambda^{\aleph_0}$), boundedly endo-rigid abelian group $G$ of cardinality $\lambda$ with
Externí odkaz:
http://arxiv.org/abs/2210.17210