47,822 research outputs found

    Some results on quasi-t-dual Baer modules

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    summary:Let RR be a ring and let MM be an RR-module with S=EndR(M)S=\rm{End}_R(M). Consider the preradical Z{\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu} for the category of right RR-modules Mod-RR introduced by Y. Talebi and N. Vanaja in 2002 and defined by Z(M)={UM ⁣:M/U{\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu}(M) = \bigcap \{U\leq M\colon M/U is small in its injective hull}\}. The module MM is called quasi-t-dual Baer if φIφ(Z2(M))\sum_{\varphi \in \mathfrak{I}} \varphi({{\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu}}^2(M)) is a direct summand of MM for every two-sided ideal I\mathfrak{I} of SS, where Z2(M)=Z(Z(M)){{\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu}}^2(M) = {{\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu}} ({{\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu}}(M)). In this paper, we show that MM is quasi-t-dual Baer if and only if Z2(M){{\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu}}^2(M) is a direct summand of MM and Z2(M){\mkern 1.5mu\overline{\mkern-3.5mu Z \mkern-.5mu}\mkern 1.5mu}^2(M) is a quasi-dual Baer module. It is also shown that any direct summand of a quasi-t-dual Baer module inherits the property. The last part of the paper is devoted to the comparison of the notions of quasi-dual Baer modules and quasi-t-dual Baer modules. Also, right quasi-t-dual Baer rings are investigated

    The blind spots of secularization

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    According to several international surveys Spain is among the western countries with the most negative views of Jews. While quantitative data on the topic accumulates, there is a significant lack of interpretative approaches that might explain the particular Spanish case. This paper presents the background, methodology and major results of a discussion group-based study on antisemitism, which was conducted in Spain in the autumn of 2009. The study identifies and locates in different socio-economic and ideological milieus the range of stereotypical discourses on Jews, Judaism and the Arab–Israeli conflict in Spain. Analysis of the group meetings shows that, despite growing secularization in Spanish society, the central explanatory variable for persisting and resurging antisemitism in this country is still religion in a broad cultural sense.N

    On relative Baer property and relative <i>t</i>-Baer property of modules

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    In this paper, the notions of relative Baer and relative t-Baer modules are used to obtain characterizations of Baer modules and t-Baer modules. It is also proved that for R-modules M-1, M-2,& mldr;, M-n such that M-i is M-j-injective for all i < j is an element of{1, 2,& mldr;,n} and for an R-module N, the finite direct sum of M-i is N-Baer (respectively, N-t-Baer) if and only if M-i is N-Baer (respectively, N-t-Baer) for all i is an element of {1, 2,& mldr;,n}. We provide examples which illustrate our results

    Modules having Baer summands

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    Let R be an arbitrary ring with identity and M a right R-module with S= End(R)(M). Let F be a fully invariant submodule of M and I-1(F) denotes the set {m is an element of M : Im subset of F} for any subset I of S. The module M is called F-Baer if I-1(F) is a direct summand of M for every left ideal I of S. This work is devoted to the investigation of properties of F-Baer modules. We use F-Baer modules to decompose a module into two parts consists of a Baer module and a module determined by fully invariant submodule F, namely, for a module M, we show that M is F-Baer if and only if M = F circle plus N where N is a Baer module. By using F-Baer modules, we obtain some new results for Baer rings

    On twisted ordered monoid rings over quasi-Baer rings

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    In this paper we show that if M is an Ordered monoid then the twisted monoid ring R^T M is (left principally) quasi-Baer if and only if R is (left principally) quasi-Baer. Also if R is (left principally) quasi-Baer and G is an ordered group acting on R we give a necessary and sufficient condition for the crossed product R∗G to be (left principally) quasi-Baer.<br /

    On Dual Baer Modules

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    In this paper we introduce T-non-cosingular modules, dual Baer modules and K-modules. We prove that a module M is lifting and T-non-cosingular if and only if it is a dual Baer and K-module. Rings for which all modules are dual Baer are precisely determined. We also give a necessary condition for a finite direct sum of dual Baer modules to be dual Baer.WoSScopu

    Module separations determined by Baer submodules

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    Bu ¸calı¸sma be¸s b¨ol¨umden olu¸smaktadır. Birinci b¨ol¨um giri¸s kısmına ayrılmaktadır ve bu b¨ol¨umde ¸calı¸smanın amacı anlatılmaktadır. ˙Ikinci b¨ol¨umde ¸calı¸sma i¸cin gerekli olan ¨on bilgiler verilmektedir. Ayrıca Baer, dual Baer, F-ters par¸calı ve dual F ters par¸calı mod¨ullerin bir sonraki b¨ol¨umlerde kullanılacak ¨ozellikleri yer almak tadır. U¸c¨unc¨u b¨ol¨umde ise ¨ F-Baer mod¨ul sınıfı tanımlanmakta ve ¨ozellikleri ince lenmektedir. Ayrıca F-Baer mod¨ullerin di˘ger mod¨ul sınıfları ile ili¸skileri verilmek tedir. F-Baer mod¨ul sınıflarında, F altmod¨ul¨u olarak M nin Z2(M) altmod¨ul¨u d¨u¸s¨un¨uld¨u˘g¨unde F-Baer mod¨ullerin bir ¨ozel hali olan t-Baer mod¨uller elde edilmek tedir. D¨ord¨unc¨u b¨ol¨umde F-Baer mod¨ullerin dualle¸stirilmesi sonucunda elde edilen mod¨ul sınıfı ara¸stırılmaktadır. Dual F-Baer mod¨ul olarak adlandırılan bu mod¨uller bir dual Baer mod¨ul ve F tam de˘gi¸smez altmod¨ul¨u yardımıyla bir par¸calanmaya sahiptir. Son b¨ol¨umde tez ¸calı¸sması boyunca elde edilen sonu¸clarla ilgili genel bir de˘gerlendirme yapılmaktadır

    An altered 11-kilobase transcript in leukemic cell lines with the t(4;11)(q21;q23) chromosome translocation.

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    The 11q23 chromosome band is frequently associated with chromosomal aberrations in human leukemias. We have previously cloned a DNA fragment derived from chromosome 11 which could be used as a probe to detect rearrangements in DNAs from the leukemic cells of patients with the t(4;11), t(9;11), and t(11;19) translocations. In this study we now show that the same probe detects DNA rearrangements in malignant cells from patients with the t(1;11), t(6;11), t(10;11), and del (11q23) chromosomal abnormalities. A second probe obtained from a region located centrometric to the breakpoint cluster detects major and minor transcripts of 12.5 and 11.5 kilobases, respectively, in all cell lines examined. The same probe identifies an altered 11-kilobase RNA in all three independent cell lines with the t(4;11)(q21;q23) chromosome translocatio

    On the Baer-Kaplansky theorem for injective modules

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    In this paper, we study the Baer-Kaplansky theorem for injective modules. Firstly, we prove that every right semi-artinian local ring satisfies the Baer-Kaplansky theorem for injective modules. Later, we work on the commutative principal ideal domains. We prove that a commutative local principal ideal domain (i.e. discrete valuation ring) satisfies the Baer-Kaplansky theorem for completely virtually semisimple modules. Finally, we make examples on the upper triangular matrix ring A := [GRAPHICS] with nonzero M showing that the Baer-Kaplansky theorem fails for injective right A-modules, even if R and S are semisimple rings. We deduce that for every division ring D and n > 1, the Baer-Kaplansky theorem fails for injective right modules over the ring T-n(D) (upper triangular matrix ring over D)

    Model independent approach to focus point supersymmetry: from dark matter to collider searches

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    The focus point region of supersymmetric models is compelling in that it simultaneously features low fine-tuning, provides a decoupling solution to the SUSY flavor and CP problems, suppresses proton decay rates and can accommodate the WMAP measured cold dark matter (DM) relic density through a mixed bino-higgsino dark matter particle. We present the focus point region in terms of a weak scale parameterization, which allows for a relatively model independent compilation of phenomenological constraints and prospects. We present direct and indirect neutralino dark matter detection rates for two different halo density profiles, and show that prospects for direct DM detection and indirect detection via neutrino telescopes such as IceCube and anti-deuteron searches by GAPS are especially promising. We also present LHC reach prospects via gluino and squark cascade decay searches, and also via clean trilepton signatures arising from chargino-neutralino production. Both methods provide a reach out to m(g) similar to 1.7TeV. At a TeV-scale linear e(+)e(-) collider (LC), the maximal reach is attained in the Z(1)Z(2) or Z(1)Z(3) channels. In the DM allowed region of parameter space, a root s = 0.5TeV LC has a reach which is comparable to that of the LHC. However, the reach of a 1TeV LC extends out to m(g) similar to 3.5TeV
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