Results 11 to 20 of about 375 (165)
Reflexivity of rings via nilpotent elements [PDF]
Revista de la Unión Matemática Argentina, 2020 An ideal $I$ of a ring $R$ is called left N-reflexive if for any $a\in$ nil$(R)$, $b\in R$, being $aRb \subseteq I$ implies $bRa \subseteq I$ where nil$(R)$ is the set of all nilpotent elements of $R$. The ring $R$ is called left N-reflexive if the zero ideal is left N-reflexive.
Harmancı, A. +3 more
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The Neutrosophic Regular and Most Important Properties that Bind Neutrosophic Ring Elements [PDF]
Neutrosophic Sets and Systems, 2023 This research has broadened the definition of the neutrosophic regular in neutrosophic rings, similar to what is known in classical rings. We have studied the properties of neutrosophic regular elements and the most important properties that link them to
Murhaf Riad Alabdullah
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Mathematics, 2018 In this paper, we introduce a new definition for nilpotent fuzzy subgroups, which is called the good nilpotent fuzzy subgroup or briefly g-nilpotent fuzzy subgroup.
Elaheh Mohammadzadeh, Rajab Ali Borzooei
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Holographic duals of 6d RG flows
Journal of High Energy Physics, 2019 A notable class of superconformal theories (SCFTs) in six dimensions is parameterized by an integer N , an ADE group G, and two nilpotent elements μ L,R in G. Nilpotent elements have a natural partial ordering, which has been conjectured to coincide with
G. Bruno De Luca +3 more
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Alternative rings without nilpotent elements [PDF]
Proceedings of the American Mathematical Society, 1974 In this paper we show that any alternative ring without nonzero nilpotent elements is a subdirect sum of alternative rings without zero divisors. Andrunakievic and Rjabuhin proved the corresponding result for associative rings by a complicated' process in 1968.
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On free subgroups of finite exponent in circle groups of free nilpotent algebras [PDF]
International Journal of Group Theory, 2019 Let $K$ be a commutative ring with identity and $N$ the free nilpotent $K$-algebra on a non-empty set $X$. Then $N$ is a group with respect to the circle composition. We prove that the subgroup generated by $X$ is relatively free in a suitable class
Juliane Hansmann
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AKCE International Journal of Graphs and Combinatorics, 2019 We consider the ring (integers modulo ) with the partial order ‘’ given by ‘ if either or ’. In this paper, we obtain necessary and sufficient conditions for the poset () to be a lattice.
A.S. Khairnar, B.N. Waphare
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The Source of Primeness of Rings
Journal of New Theory, 2022 In this study, we define a new concept, i.e., source of primeness of a ring $R$, as $P_{R} := \bigcap_{a\in R} S_{R}^{a}$ such that $S_{R}^{a}:=\{b\in R \mid aRb=(0)\}$.
Didem Karalarlıoğlu Camcı +1 more
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Nilpotent elements in Banach algebras [PDF]
Proceedings of the American Mathematical Society, 1973 Let A \mathfrak {A} be an A ∗ {A^\ast } -algebra such that any maximal abelian ∗ ^\ast -subalgebra is regular and such that any quasinilpotent element x in A \mathfrak {A} satisfies
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Nilpotent Orbits and Commutative Elements
Journal of Algebra, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fan, C.Kenneth, Stembridge, John R.
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