Results 1 to 10 of about 1,430 (227)
Modules with the Direct Summand Sum Property [PDF]
Czechoslovak Mathematical Journal, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Valcan Dumitru
exaly +5 more sources
Towards a homological generalization of the direct summand theorem [PDF]
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
doaj +3 more sources
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
doaj +4 more sources
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
doaj +4 more sources
The Direct Summand Conjecture in Dimension Three [PDF]
Annals of Mathematics, 2002 14 pages, no ...
Raymond C Heitmann
exaly +3 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Hereditary Properties of Direct Summands of Algebras [PDF]
Mathematical Research Letters, 1999 For an algebra, \(R\), the authors investigate the property, which they call FCR, saying that any finite-dimensional representation is completely reducible and that each element of the algebra acts non-zero on some finite-dimensional representation.
Kraft, Hanspeter +2 more
openaire +2 more sources
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
doaj +1 more source