Results 41 to 50 of about 60,182 (167)
Toric mirror symmetry revisited
The Cox construction presents a toric variety as a quotient of affine space by a torus. The category of coherent sheaves on the corresponding stack thus has an evident description as invariants in a quotient of the category of modules over a polynomial ...
Shende, Vivek
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ABSTRACTA ring is called clean if every element is a sum of a unit and an idempotent, while a ring is said to be weakly clean if every element is either a sum or a difference of a unit and an idempotent. Commutative weakly clean rings were first discussed by Anderson and Camillo [2] and were extensively investigated by Ahn and Anderson [1], motivated ...
Kosan, Tamer +2 more
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The effects of ammonium polyphosphate (APP, (NH4)n+2PnO3n+1, n
Yang Luo +6 more
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In this article, an element w of an associative ring R is called m-regular nil clean or m-rnc if expressed as w = am + b where am is m-regular element and b is a nilpotent element. R is named m-regular nil clean ring or m-rnc ring. If all the elements of
Mahmood Ali Sh. +1 more
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Rupat Island located at a coastal area of Riau Province, generally coastal areas are identical with the availability of clean water. The low availability of clean water has a negative impact on all sectors.
Ernidawati Ernidawati +12 more
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On graded nil clean rings [PDF]
In this paper we introduce and study the notion of a graded (strongly) nil clean ring which is group graded. We also deal with extensions of graded (strongly) nil clean rings to graded matrix rings and to graded group rings. The question of when nil cleanness of the component, which corresponds to the neutral element of a group, implies graded nil ...
Ilic-Georgijevic, Emil, Sahinkaya, Serap
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⁎-Clean rings; some clean and almost clean Baer ⁎-rings and von Neumann algebras
A ring is clean (resp. almost clean) if each of its elements is the sum of a unit (resp. regular element) and an idempotent. In this paper we define the analogous notion for *-rings: a *-ring is *-clean (resp. almost *-clean) if its every element is the sum of a unit (resp. regular element) and a projection.
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Rings in Which Element is a Sum of the Transformation Elements of Idempotents and Special Elements
In this article, further generalizations are made for the nil clean ring and the ur-clean ring, obtained as extensions of the clean ring. Firstly, consider rings where each element can be expressed as n idempotents plus one nilpotent, any two commute ...
Xinsong Yang, Jiaxin Liu
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Alkyl 2-diazo-3-oxoalkanoates generate alkoxycarbonylketenes, which undergo an electrophilic ring expansion with aziridines to afford alkyl 2-(oxazolin-2-yl)alkanoates in good to excellent yields under microwave heating.
Yelong Lei, Jiaxi Xu
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Classes of Commutative Clean Rings [PDF]
Let A be a commutative ring with identity and I an ideal of A. A is said to be I-clean if for every element a∈A there is an idempotent e=e 2 ∈A such that a-e is a unit and ae belongs to I. A filter of ideals, say ℱ, of A is Noetherian if for each I∈ℱ there is a finitely generated ideal J∈ℱ such that J⊆I.
Iberkleid, Wolf +1 more
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