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Browsing Conference on Applied and Industrial Mathematics - CAIM by Issue Date

Browsing Conference on Applied and Industrial Mathematics - CAIM by Issue Date

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  • The Design of Metacognitive Strategies for Training Abilities to Solve Combinatorics Problems 
    TELEUCĂ, Marcel; SALI, Larisa (Bons Offices, 2018)
    In our research, we started from the thesis that teachers’ metacognitive actions positively impact student performance on state and national tests as well as on measures of higher-order thinking more typically associated ...
  • Implementarea algoritmilor de rezolvare a problemelor din combinatorică 
    ȚÎCĂU, Vitalie (Bons Offices, 2018)
    Combinatorica are o importanță considerabilă pentru teoria probabilităților, cibernetică, logica matematică, teoria numerelor, precum și pentru alte ramuri ale științei și tehnicii. În lucrare sunt cercetate avantajele ...
  • Asupra unei ecuații Diofant 
    ȚARĂLUNGĂ, Boris; DRUC, Tatiana (Bons Offices, 2018)
    Un subiect important în teoria numerelor este studiul ecuațiilor Diofant, ecuații pentru care sunt permise numai soluții întregi. În lucrarea dată se cercetează ecuația Diofant și formulele soluțiilor.
  • On topological endomorphism rings with no more than two non-trivial closed ideals 
    POPA, Valeriu (Bons Offices, 2018)
    Let L be the class of locally compact abelian groups. For X ∈ L, we denote by t(X) the torsion subgroup of X and by E(X) the ring of continuous endomorphisms of X, taken with the compact-open topology. If X is topologically ...
  • About the generalized symmetry of geometric figures weighted regularly and easily by „physical” scalar tasks 
    LUNGU, Alexandru (Bons Offices, 2018)
    Let us have geometrical figure F with discrete group of symmetry G and finite set N = {1, 2, ..., m} of „indexes”, which mean a non-geometrical feature. On fix a certain transitive group P of permutations over N. We will ...
  • Application of formal groups to reciprocity laws 
    DEMCHENKO, O.; VOSTOKOV, S.; VOSTOKOVA, R. P. (Bons Offices, 2018)
    Formal groups are easily defined algebraic objects that have a wide range of applications in many field of mathematics from cobordism theory to number theory with the present talk being devoted to the latter. They are ...
  • Some properties of a permutation representation of a group by cosets to its included subgroups 
    KUZNETSOV, Eugene (Bons Offices, 2018)
    Theorem 1. Let G be a group and H ⊆ K ⊆ G be its two included subgroups. Let set T = {ti, j}i∈E1, j∈E2 be a loop transversal in G to H and set T1 = {t0, j}j∈E2 be a corresponding loop transversal in K to H.
  • Subnormalizing Extensions and D-structures 
    COJUHARI, E. P.; GARDNER, B. J. (Bons Offices, 2018)
    In this talk all rings have identity but need not be commutative. In many cases the ring A(G; σ) is a subnormalizing extension of A generated by G. On the other hand, if S is a subnormalizing extension of R, the xi form a ...
  • Extreme Points in the Complex of Multy-ary Relations 
    CATARANCIUC, Sergiu; BRAGUȚA, Galina (Bons Offices, 2018)
    Knowing m-extreme points of a set often simplifies the procedure of convex hull construction and the study of its properties. Let denote by extm(A) the set of all m-extreme points of the set A.
  • Some Properties of a Lattice Generated by Implicational Logics 
    NEGRU, Ion (Bons Offices, 2018)
    Consider the following implicational formulae: A1 = (p ⊃ p), A2 = (((p ⊃ p) ⊃ p) ⊃ p) = ((A1 ⊃ p) ⊃ p), …, Ai+1 = ((Ai ⊃ p) ⊃ p), …, (i = 1, 2, 3, …). Using these formulae (axioms), we may construct the following logics: ...
  • Some properties of Neumann quasigroups 
    DIDURIK, Natalia (Bons Offices, 2018)
    Definition 1. Quasigroup (Q, •) is unipotent if and only if x • x = a for all x ∈ Q and some fixed element a ∈ Q. Definition 2. Quasigroup (Q, •) has right unit element (a right unit) if there exists element e (unique) ...
  • The order of projective Edwards curve over Fpn and embedding degree of this curve in finite field 
    SKURATOVSKII, Ruslan (Bons Offices, 2018)
    We consider algebraic affine and projective curves of Edwards over a finite field Fpn. Most cryptosystems of the modern cryptography can be naturally transform into elliptic curves. We research Edwards algebraic curves ...
  • Minimal generating set and properties of commutator of Sylow subgroups of alternating and symmetric groups 
    SKURATOVSKII, Ruslan (Bons Offices, 2018)
    Given a permutational wreath product sequence of cyclic groups of order 2 we research a commutator width of such groups and some properties of its commutator subgroup. The paper presents a construction of commutator subgroup ...
  • On weak expressibility of formulas in the simplest non-trivial propositional provability logic 
    RUSU, Andrei; RUSU, Elena (Bons Offices, 2018)
    They say formula F is weak-expressible by formulas of the system Σ in the logic L if F can be obtained from unary formulas of L and from formulas of Σ by applying the rule of weak substitution (which allows to pass from ...
  • On generalized multiplication groups of the commutative Moufang loops 
    SYRBU, P.; GRECU, I. (Bons Offices, 2018)
    The multiplication groups of quasigroups, i.e. the groups generated by all left and right translations, represent an efficient tool in the theory of quasigroups (loops). Belousov considered the groups, generated by all ...
  • On a Certain Property of the Elements of a Finitely Generated Lattice 
    NEGRU, Ion (Bons Offices, 2018)
    Firstly, a reminder that a lattice is a set S of elements; it is partially ordered, closed in relation to two lattice operations: the reunion a + b and the intersection a • b of any two elements a and b from set S. (The ...
  • On free nilpotent commutative automorphic loops 
    URSU, Vasile (Bons Offices, 2018)
    The correspondence by the ring of integers corresponds to a metabelian commutative free automorphic loop of rank two. We derive some equational properties of this loop and prove, that the elementary theory free n-nilpotent ...
  • Example of ternary non-commutative Moufang loop 
    ONOI, Vasilii I. (Bons Offices, 2018)
    It is demonstrated that there exist ternary Moufang loops that are different from ternary groups. Let (K, +, •, 1) be an associative ring (not necessary commutative) which has characteristic 3, i.e., x + x + x = 0 for all x ∈ K.
  • On 3-isohedral tilings of sphere for group series n× 
    ZAMORZAEVA, Elizaveta (Bons Offices, 2018)
    A tiling W of the sphere with disks is called k-isohedral with respect to a discrete isometry group G if G maps the tiling W onto itself and the disks of W fall into k transitivity classes under the action of the group G.
  • Definition and example of n-ary Moufang loop 
    URSU, Leonid (Bons Offices, 2018)
    In this work necessary and sufficient conditions that isotope of n-IP-loop (n ∈ N∗, n > 3) is also n-IP-loop are proved. Definition of n-ary Moufang loop is given, example of such loop is constructed.

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