Results 1 to 10 of about 790 (140)
On Goldie absolute direct summands in modular lattices [PDF]
Mathematica Bohemica, 2023 Absolute direct summand in lattices is defined and some of its properties in modular lattices are studied. It is shown that in a certain class of modular lattices, the direct sum of two elements has absolute direct summand if and only if the elements are
Rupal Shroff
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Direct summands of Goldie extending elements in modular lattices [PDF]
Mathematica Bohemica, 2022 In this paper some results on direct summands of Goldie extending elements are studied in a modular lattice. An element $a$ of a lattice $L$ with $0$ is said to be a Goldie extending element if and only if for every $b \leq a$ there exists a direct ...
Rupal Shroff
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Composites and Categories of Euclidean Jordan Algebras [PDF]
Quantum, 2020 We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the desire to construct dagger-compact categories of such models. We show that
Howard Barnum +2 more
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Eventually semisimple weak $FI$-extending modules [PDF]
Mathematica Bohemica, 2023 In this article, we study modules with the weak $FI$-extending property. We prove that if $M$ satisfies weak $FI$-extending, pseudo duo, $C_3$ properties and $M/{\rm Soc} M$ has finite uniform dimension then $M$ decomposes into a direct sum of a ...
Figen Takil Mutlu +2 more
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Supplements Related to Normal π-Projective Hypermodules
Mathematics, 2022 In this study, the role of supplements in Krasner hypermodules is examined and related to normal π-projectivity. We prove that the class of supplemented Krasner hypermodules is closed under finite sums and under quotients.
Burcu Nişancı Türkmen +2 more
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On Hereditarily Codiskcyclic Operators
مجلة بغداد للعلوم, 2022 Many codiskcyclic operators on infinite-dimensional separable Hilbert space do not satisfy the criterion of codiskcyclic operators. In this paper, a kind of codiskcyclic operators satisfying the criterion has been characterized, the equivalence between ...
Zeana Zaki Jamil
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On Rings whose Simple Singular R-Modules are GP-Injective [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2005 In this work we give a characterization of rings whose simple singular right R-modules are Gp-injective. We prove that if R is a quasi-duo ring whose simple singular right R-modules are Gp-injective, then any reduced right ideal of R is a direct summand.
Zubayda Ibraheem
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Extending property on EC-Fully Submodules
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 Thereare several generalizations of -modulesin literature. One of the generalization is based on fully invariantsubmodules. Recall that amodule is called -extendingif every fully invariant submodule is essential in a direct summand.
Ramazan Yaşar, Adnan Tercan
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Towards a homological generalization of the direct summand theorem
Open Mathematics, 2020 We present a more general homological characterization of the direct summand theorem (DST). Specifically, we state two new conjectures: the socle-parameter conjecture (SPC) in its weak and strong forms.
Vélez-Caicedo Juan Diego +1 more
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Nagoya Mathematical Journal, 2014 Abstract We prove new cases of the direct summand conjecture using fundamental theorems in p-adic Hodge theory due to Faltings. The cases tackled include the ones when the ramification locus lies entirely in characteristic p.
openaire +3 more sources