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On lie-like filiform Leibniz algebras.
Published 2009“…In this paper we propose an approach to classifying a subclass of filiform Leibniz algebras. This subclass arises from the naturally graded filiform Lie algebras. …”
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On filiform Leibniz algebras of dimension nine.
Published 2010“…The paper is devoted to classification problem of a subclass of filiform Leibniz algebras, obtained from naturally graded non-Lie filiform Leibniz algebra. …”
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Derivations of some classes of Leibniz algebras
Published 2013“… • The derivations of naturally graded Leibniz algebras is described and the derivation algebra dimensions are provided…”
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Students' algebraic thinking and attitudes towards algebra: the effects of game-based learning using Dragonbox 12 + app
Published 2016“…Therefore, this study aimed to examine the effects of an android app, the DragonBox 12+, on algebraic thinking and attitudes toward algebra among eighth grade students. …”
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On low-dimensional filiform leibniz algebras and their invariants.
Published 2011“…The paper deals with the complete classification of a subclass of complex filiform Leibniz algebras in dimensions 5 and 6. This subclass arises from the naturally graded filiform Lie algebras. …”
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Classification of a subclass of filiform Leibniz algebra
Published 2014“…This study centers on isomorphism classes and invariants of a subclass of filiform Leibniz algebras over complex field. The subclass of filiform Leibniz algebras considered arises from naturally graded filiform Lie algebras. …”
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How students learn mathematics - misconceptions in algebra
Published 2008“…This exploratory study investigated the errors in algebra that were made by Secondary One (Grade 7) boys in an independent Secondary school in Singapore. …”
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Algebraic study of fuzzy finite switchboard automata
Published 2020“…This research studied on how one can incorporate the fuzzy set into finite switchboard automata and develop algebraic properties. Further, the general algebraic structure such as complete residuated lattices (CRL) has been utilized to enhance the membership grade of the fuzzy finite switchboard automata (FFSA). …”
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Isomorphism classes of 10-dimensional filiform Leibniz algebras
Published 2013“…This paper implements Rakhimov-Bekbaev approach to present a complete list of isomorphism classes of a subclass of complex filiform Leibniz algebras obtained from naturally graded non-Lie filiform Leibniz algebra. …”
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Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras
Published 2015“…In the paper, we extend the result on classification of a subclass of filiform Leibniz algebras in low dimensions to dimensions seven and eight based on a technique used by Rakhimov and Bekbaev for classification of subclasses which arise from naturally graded non-Lie filiform Leibniz algebras. …”
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Classification of second class filiform leibniz algebras in dimension nine
Published 2013“…The first two subclasses denoted by FLbn and SLbn arise from naturally graded non- Lie filiform Leibniz algebras. The third class, TLbn arises from naturally graded filiform Lie algebras. …”
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Classification of second-class 10-dimensional complex filiform Leibniz algebras
Published 2014“…Filiform Leibniz algebras arise from two sources. The first source is a naturally graded non-Lie filiform Leibniz algebras and another one is a naturally graded filiform Lie algebras. …”
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Classification of non-lie complex filiform Leibniz algebras for low dimensions
Published 2011“…The first source is a naturally graded non-Lie filiform Leibniz algebras and the other one is a naturally graded filiform Lie algebras. …”
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Classification Of First Class 9-Dimensional Complex Filiform Leibniz Algebras
Published 2009“…The ¯rst of them is naturally graded non Lie ¯liform Leibniz algebras and another one is naturally graded ¯liform Lie algebras. …”
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Classification of a subclass of low-dimensional complex filiform Leibniz algebras.
Published 2011“…We give a complete classification of a subclass of complex filiform Leibniz algebras obtained from naturally graded non-Lie filiform Leibniz algebras. …”
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On isomorphism classes of a subclass of filiform Leibniz algebras in dimension 10
Published 2013“…Some classes of filiform Leibniz algebras arising from the naturally graded non Lie filiform Leibniz algebras were introduced by Ayupov and Omirov in 2006. …”
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On the restricted graded Jacobson radical of rings of Morita context
Published 2022“…Furthermore, we show that this property is also valid for the restricted G−graded Jacobson radical of graded ring of Morita context.…”
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Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras
Published 2011“…The paper concerns the classification problem of a subclass of nilpotent Leibniz algebras. This subclass arises from naturally graded non Lie filiform Leibniz algebras. …”
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The adoption of variation theory in the classroom: effect on students’ algebraic achievement and motivation to learn
Published 2017“…Considering the prior successes in integration of variation theory in classroom in other countries, it is imperative to examine the effect of variation theory based strategy in the teaching and learning of the algebra in schools in Malaysia. Method. The study used quasi-experimental non-equivalent control group research design and involved 58 Form Two (Grade 8th) students in two classes (30 in experimental group, 28 in control group) in Malaysia The first class of students went through algebra class taught with Variation Theory Based Strategy (VTBS) while the class of students experienced Conventional Teaching Strategy (CTS). …”
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