Results 1 to 10 of about 3,894 (117)
On groups with many normal subgroups [PDF]
International Journal of Group Theory, 2023 The structure of groups which are rich in normal subgroups has been investigated by several authors. Here, we prove that if a radical group G has normal deviation, which means that the set of its non-normal subgroups satisfies a very weak chain condition,
Alessio Russo, Mario Viscusi
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The Intuitionistic Fuzzy Normal Subgroup [PDF]
International Journal of Fuzzy Logic and Intelligent Systems, 2010 In this paper we continue the study of intuitionistic fuzzy groups by introducing the notion of intuitionistic fuzzy normal subgroup based on intuitionistic fuzzy space as a generalization of fuzzy normal subgroup.
Abdul Razak Salleh
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Pseudocomplementation in (Normal) Subgroup Lattices [PDF]
Communications in Algebra, 2010 The goal of this article is to study finite groups admitting a pseudocomplemented subgroup lattice (PK-groups) or a pseudocomplemented normal subgroup lattice (PKN-groups). In particular, we obtain a complete classification of finite PK-groups and of finite nilpotent PKN-groups. We also study groups with a Stone normal subgroup lattice, and we classify
Tom De Medts, Marius T˘Arn˘Auceanu
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Pronormality in Group Theory [PDF]
Advances in Group Theory and Applications, 2020 A subgroup X of a group G is said to be pronormal if for each element g of G the subgroups X and X^g are conjugate in . The aim of this paper is to study pronormality and some close embedding properties, like weak normality and weak pronormality.
Francesco de Giovanni, Marco Trombetti
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On algebraic aspects of η-fuzzy subgroups [PDF]
Journal of Fuzzy Extension and Applications, 2023 In this paper, we define the term " η-fuzzy subgroup" and show that every fuzzy subgroup is a η-fuzzy subgroup. We define some of the algebraic properties of the concept of η-fuzzy cosets. Furthermore, we initiate the study of the η-fuzzy normal subgroup
Muhammad Asghar, Khushdil Ahmad
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Generalized Pythagorean Neutrosophic Sets in the Study of Group Theory [PDF]
Neutrosophic Sets and Systems, 2021 In 2019, Jansi et al. present the notion of the Pythagorean neutrosophic set (PNS) as an extension of a neutrosophic set with dependent neutrosophic components. But due to the more complexity involved in a decision-making problem, there is a serious need
Somen Debnath
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An algebraic analysis on exploring q-Rung orthopair multi-fuzzy sets [PDF]
Journal of Fuzzy Extension and Applications, 2023 The q-Rung Orthopair Fuzzy set (qROF-set) environment is a contemporary tool for handling uncertainty and vagueness in decision-making scenarios. In this paper, we delve into the algebraic examination of q-rung orthopair Multi-Fuzzy Sets (MFSs) and ...
Mahalakshmi Pethaperumal +3 more
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On the Normal Subgroups of $G_2(A)$ [PDF]
Transactions of the American Mathematical Society, 1988 For a commutative local ring A, the authors determine the normal subgroups of the general linear group GL(2,A). Since every Artinian commutative ring A is a finite direct sum of local rings they are also able to derive a description for all normal subgroups of GL(2,A) for an Artinian ring A.
Costa, Douglas L., Keller, Gordon E.
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Conjugate L-subgroups of An L-group and Their Applications to Normality and Normalizer
Fuzzy Information and Engineering, 2022 In this paper, the notion of the conjugate of an L-subgroup by an L-point has been introduced. Then, several properties of conjugate L-subgroups have been studied analogous to their group-theoretic counterparts.
Iffat Jahan, Ananya Manas
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Structure of intersection graphs
Indonesian Journal of Combinatorics, 2021 Let G be a finite group and let N be a fixed normal subgroup of G. In this paper, a new kind of graph on G, namely the intersection graph is defined and studied.
Haval M. Mohammed Salih +1 more
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