Regular submodules of torsion modules over a discrete valuation domain

Pudji Astuti; Harald K. Wimmer

Displaying similar documents to “Regular submodules of torsion modules over a discrete valuation domain”

Regularity of certain sets in ℂⁿ

Nguyen Quang Dieu (2003)

Annales Polonici Mathematici

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A subset K of ℂⁿ is said to be regular in the sense of pluripotential theory if the pluricomplex Green function (or Siciak extremal function) $V_{K}$ is continuous in ℂⁿ. We show that K is regular if the intersections of K with sufficiently many complex lines are regular (as subsets of ℂ). A complete characterization of regularity for Reinhardt sets is also given.

On chirality groups and regular coverings of regular oriented hypermaps

Antonio Breda d&amp;#039;Azevedo, Ilda Inácio Rodrigues, Maria Elisa Fernandes (2011)

Czechoslovak Mathematical Journal

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We prove that if the Walsh bipartite map $ℳ = 𝒲 (ℋ)$ of a regular oriented hypermap $ℋ$ is also orientably regular then both $ℳ$ and $ℋ$ have the same chirality group, the covering core of $ℳ$ (the smallest regular map covering $ℳ$ ) is the Walsh bipartite map of the covering core of $ℋ$ and the closure cover of $ℳ$ (the greatest regular map covered by $ℳ$ ) is the Walsh bipartite map of the closure cover of $ℋ$ . We apply these results to the family of toroidal chiral hypermaps ${(3, 3, 3)}_{b, c} = 𝒲^{- 1} {6, 3}_{b, c}$ induced by the family of toroidal...

Pretty cleanness and filter-regular sequences

Somayeh Bandari, Kamran Divaani-Aazar, Ali Soleyman Jahan (2014)

Czechoslovak Mathematical Journal

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Let $K$ be a field and $S = K [x_{1}, ..., x_{n}]$ . Let $I$ be a monomial ideal of $S$ and $u_{1}, ..., u_{r}$ be monomials in $S$ . We prove that if $u_{1}, ..., u_{r}$ form a filter-regular sequence on $S / I$ , then $S / I$ is pretty clean if and only if $S / (I, u_{1}, ..., u_{r})$ is pretty clean. Also, we show that if $u_{1}, ..., u_{r}$ form a filter-regular sequence on $S / I$ , then Stanley’s conjecture is true for $S / I$ if and only if it is true for $S / (I, u_{1}, ..., u_{r})$ . Finally, we prove that if $u_{1}, ..., u_{r}$ is a minimal set of generators for $I$ which form either a $d$ -sequence, proper sequence or strong $s$ -sequence (with respect to the reverse...

Remarks on absolutely regular and regular $K^{'} M_{p}$ -distributions

S. Pilipović (1991)

Annales Polonici Mathematici

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nbspAbstract. We give the definition of $K^{'} M_{P}$ regular distributions and some characterizations of absolutely regular and regular $K^{'} M_{p}$ -distributions.

Inequalities for a regular polygon in $L^{p}$ spaces

M. Pavlović (1992)

Matematički Vesnik

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Simple modules over Auslander regular rings

Chonghui Huang, Lijing Zheng (2017)

Open Mathematics

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In this paper, we discuss the properties of simple modules over Auslander regular rings with global dimension at most 3. Using grade theory, we show the right projective dimension of [...] ExtΛ1(S,Λ) $\begin{matrix} {Ext}_{Λ}^{1} (S, Λ) \end{matrix}$ is equal to 1 for any simple Λ-module S with gr S = 1. As a result, we give some equivalent characterization of diagonal Auslander regular rings.

On iterated limits of subsets of a convergence $ℓ$ -group

Ján Jakubík (2001)

Mathematica Bohemica

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In this paper we deal with the relation $lim_{α} lim_{α} X = lim_{α} X$ for a subset $X$ of $G$ , where $G$ is an $ℓ$ -group and $α$ is a sequential convergence on $G$ .

All completely regular elements in $H y p_{G} (n)$

Ampika Boonmee, Sorasak Leeratanavalee (2013)

Discussiones Mathematicae - General Algebra and Applications

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In Universal Algebra, identities are used to classify algebras into collections, called varieties and hyperidentities are use to classify varieties into collections, called hypervarities. The concept of a hypersubstitution is a tool to study hyperidentities and hypervarieties. Generalized hypersubstitutions and strong identities generalize the concepts of a hypersubstitution and of a hyperidentity, respectively. The set of all generalized hypersubstitutions forms...

On $M$ -sequences associated to filtrations

B. Torrecillas, F. Van Oystaeyen (1990)

Rendiconti del Seminario Matematico della Università di Padova

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