Results 11 to 20 of about 40,826 (196)
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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Nilpotent elements and Armendariz rings
Journal of Algebra, 2008 Let \(R\) denote an associative ring with \(1\), and let \(\text{nil}(R)\) denote the set of nilpotent elements. Further, let \(f(x)=\sum_{i=0}^ma_ix^i,g(x)=\sum_{j=0}^nb_jx^j\in R[x]\) denote two arbitrary polynomials. One says that \(R\) is an Armendariz ring if \(f(x)g(x)=0\) implies that \(a_ib_j=0\) for all \(i\) and \(j\).
Ramon Antoine
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Regular Nilpotent Elements and Quantum Groups [PDF]
Communications in Mathematical Physics, 1999 23 pages, LaTeX ...
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Nilpotent elements in group rings
Manuscripta Mathematica, 1975 The main theorem gives necessary and sufficient conditions for the rational group algebra QG to be without (nonzero) nilpotent elements if G is a nilpotent or F·C group. For finite groups G, a characterisation of group rings RG over a commutative ring with the same property is given.
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On the formal power series algebras generated by a vector space and a linear functional [PDF]
Journal of Hyperstructures, 2017 Let R be a vector space ( on C) and ϕ be an element of R∗ (the dual space of R), the product r · s = ϕ(r)s converts R into an associative algebra that we denote it by Rϕ.
A. R. Khoddami
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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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Very nilpotent basis and n-tuples in Borel subalgebras [PDF]
, 2010 A (vector space) basis B of a Lie algebra is said to be very nilpotent if all the iterated brackets of elements of B are nilpotent. In this note, we prove a refinement of Engel's Theorem.
Michael, Bulois
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On graded centres and block cohomology [PDF]
, 2009 We extend the group theoretic notions of transfer and stable elements to graded centers of triangulated categories. When applied to the center H∗Db(B)) of the derived bounded category of a block algebra B we show that the block cohomology H∗(B) is ...
Linckelmann, M.
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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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