Results 21 to 30 of about 128 (117)

Logarithmic W-algebras and Argyres-Douglas theories at higher rank

Journal of High Energy Physics, 2018
Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and Tipunin and they are also obtained as modifications of semiclassical ...
Thomas Creutzig
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Remarks on the group of unıts of a corner ring

Cumhuriyet Science Journal, 2021
The aim of this study is to characterize rings having the following properties for a non-trivial idempotent element e of R, U (eRe) = e + eJ(R)e = e + J (eRe) (and U (eRe) = e + N (eRe)),where U (-), N (-) and J (-) denote the group of units, the set of ...
Tülay Yıldırım
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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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Rings in which elements are the sum of a nilpotent and a root of a fixed polynomial that commute

Open Mathematics, 2017
An element in a ring R with identity is said to be strongly nil clean if it is the sum of an idempotent and a nilpotent that commute, R is said to be strongly nil clean if every element of R is strongly nil clean. Let C(R) be the center of a ring R and g(
Handam Ali H., Khashan Hani A.
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The Strongly Nil-Clean Rings Of Order Two Units [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics
If every element of a ring R is the sum of idempotent and nilpotent that commute, then the ring is said to be a strongly nil-clean. Further features of a strongly nil-clean ring are given in this paper.
Samira Toma, Nazar Shuker
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On Generalized PF – Rings [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2004
The aim of this paper is to extend several known results on GPF –rings. π-regular rings, PF-rings and GP-ideals are also considered. Among other results we prove that: If R is a uniform ring, then R is a GPF-ring if and only if every element of R is ...
Nazar Shuker, Husam Mohammad
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A weak periodicity condition for rings

International Journal of Mathematics and Mathematical Sciences, 2005
A ring is called semi-weakly periodic if each element which is not in the center or the Jacobson radical can be written as the sum of a potent element and a nilpotent element.
Hazar Abu-Khuzam, Howard E. Bell, Adil Yaqub   +2 more
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On the generalization of pseudo p-closure in pseudo BCI-algebras [PDF]

Journal of Hyperstructures
In this paper, the notion of generalization of pseudo p-closure, denoted by gcl, is introduced and its related properties are investigated. The gcl of subalgebras and pseudo-ideals is discussed.
Padena Pirzadeh Ahvazi, Habib Harizavi, Tayebeh Koochakpoor   +2 more
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Nilpotent elements in physics [PDF]

Journal of Physical Studies, 2007
Institute of Theoretical Physics, University of Wroclaw,pl. M. Borna 9, 50–204 Wroclaw, Poland(Received January 4, 2007)We briefly review some issues of the nilpotent objects in theoretical physics using simple modelsas an illustration. Nilpotent elements appear at quantum and classical level in several ways.
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On Clean and Nil-Clean Symbolic 2-Plithogenic Rings [PDF]

Neutrosophic Sets and Systems, 2023
A ring is said to be clean if every element of the ring can be written as a sum of an idempotent element and a unit element of the ring and a ring is said to be nil-clean if every element of the ring can be written as a sum of an idempotent element and a
P. Prabakara, Florentin Smarandache
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