On the structure of braces whose subideals are ideals
This article begins the study of T-braces, those skew left braces of abelian type in which the relation of being an ideal is a transitive relation.
math.RA↗
arXiv subjects
Igor Ya. Subbotin
Publications and source records attributed to Igor Ya. Subbotin.
On the structure of some one-generator nilpotent braces
This article provides a detailed description of some nilpotent left braces generated by one element.
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Some three-dimensional non-nilpotent Leibniz algebras: automorphism groups
The article presents the structure of the automorphism groups of two types of non-nilpotent Leibniz algebras with a dimension of 3.
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On the Structure of Some One-generator Braces
We describe the one-generator braces A satisfying the condition $A^3 = \langle 0 \rangle$.
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On the inner structure of 3-dimensional Leibniz algebras
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all $a,b,c\in L$. We describe the inner structure of left Leibniz algebras having dimension 3.
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On groups whose subnormal abelian subgroups are normal
In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical. The description of hyperabelian Lie algebras, whose abelian subideals are ideals, is also obtained.
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On the automorphism groups of some Leibniz algebras
We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.
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On the endomorphisms and derivations of some Leibniz algebras
We study endomorphisms and derivations of infinite dimensional cyclic Leibniz algebra.
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On the structure of some contranormal-free groups
A subgroup of a group is contranormal if its normal closure coincides with the group. We call such groups without proper contranormal subgroups contranormal-free. In this paper we prove various results concerning contranormal-free groups proving, for example that locally generalized radical contranormal-free groups which have finite section rank are hypercentral.
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On Leibniz algebras with maximal cyclic subalgebras
We begin to study the structure of Leibniz algebras having maximal cyclic subalgebras
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An Application of the Generalized Rectangular Fuzzy Model to Critical Thinking Assessment
The authors apply the Generalized Rectangular Model to assessing critical thinking skills and its relations with their language competency.
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Fuzzy models for learning assessment
In the current paper a new Trapezoidal Fuzzy Model for Assessment is developed. This model is a variation of a special form of the commonly used in Fuzzy Mathematics Center of Gravity technique.
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Trapezoidal Fuzzy Logic Model for Learning Assessment
The current article discusses some applications of fuzzy logic to assessment of learning. We consider here a new trapezoidal fuzzy model for learning assessment.
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Dealing with the Fuzziness of Human Reasoning
Reasoning, the most important human brain operation, is charactrized by a degree fuzziness. In the present paper we construct a fuzzy model for the reasoning process giving through the calculation of the possibilities of all possible individuals' profiles a quantitative/qualitative view of their behaviour during the above process and we use the centroid defuzzification technique for measuring the reasoning skills. We also present a number of classroom experiments illustrating our results in practice.
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On modules with few minimax cocentralizers
Let R be a ring and G a group. An R-module A is said to be minimax if A includes an noetherian submodule B such that A=B is artinian. The authors study a ZG-module A such that A/C_A(H) is minimax (as a Z-module) for every proper not finitely generated subgroup H.
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On the structure of some modules over generalized soluble groups
Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank) if TorR(A) is artinian and A/TorR(A) has finite R-rank. The authors study ZG-modules A such that A/CA(H) is artinian-by-(finite rank) (as a Z-module) for every proper subgroup H.
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Applications of fuzzy logic to Case-Based Reasoning
The article discusses some applications of fuzzy logic ideas to formalizing of the Case-Based Reasoning (CBR) process and to measuring the effectiveness of CBR systems
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A note regarding some generalization of a Schur's theorem
The article on the upper central series of infinite groups by M. de Falco, F. de Giovanni, C. Musella and Y.P. Sysak, proceedings of the american mathematical society, Volume 139, Number 2, February 2011, 385--389 consists of a quite long proof of a main theorem. We offer a simple and very brief proof of this result.
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