Results 11 to 20 of about 427,861 (368)

Prime Ideal, Semiprime Ideal, and Radical of an Ideal of an L-Subring

Fuzzy Information and Engineering, 2023
In this paper, we develop a systematic theory for the ideals of an L-ring L(μ, R). We introduce the concepts of a prime ideal, a semiprime ideal, and the radical of an ideal in an L-ring. The notion of a maximal ideal has been introduced and discussed in
Anand Swaroop Prajapati, Naseem Ajmal, Iffat Jahan   +2 more
doaj   +1 more source

On the distributivity of the lattice of radical submodules [PDF]

Journal of Mahani Mathematical Research, 2023
Let $R$ be a commutative ring with identity and $\mathcal{R}(_{R}M)$ denotes the bounded lattice of radical submodules of an $R$-module $M$. We say that $M$ is a radical distributive module, if $\mathcal{R}(_{R}M)$ is a distributive lattice.
Hossein Fazaeli Moghimi, Morteza Noferesti   +1 more
doaj   +1 more source

Ring-Opening Dynamics of the Cyclopropyl Radical and Cation: the Transition State Nature of the Cyclopropyl Cation.

Journal of the American Chemical Society, 2022
We provide compelling experimental and theoretical evidence for the transition state nature of the cyclopropyl cation. Synchrotron photoionization spectroscopy employing coincidence techniques together with a novel simulation based on high-accuracy ab ...
N. Genossar, P. B. Changala, B. Gans, J. Loison, S. Hartweg, M. Martin‐Drumel, G. García, J. Stanton, B. Ruscic, J. Baraban   +9 more
semanticscholar   +1 more source

π–π Stacking Interaction of Metal Phenoxyl Radical Complexes

Molecules, 2022
π–π stacking interaction is well-known to be one of the weak interactions. Its importance in the stabilization of protein structures and functionalization has been reported for various systems.
Hiromi Oshita, Yuichi Shimazaki
doaj   +1 more source

Algebraic Structure of Supernilpotent Radical Class Constructed from a Topology Thychonoff Space

Al-Jabar, 2020
A radical class of rings is called a supernilpotent radicals if it is hereditary and it contains the class  for some positive integer  In this paper, we start by exploring the concept of Tychonoff space to build a supernilpotent radical.
Puguh Wahyu Prasetyo, Dian Ariesta Yuwaningsih, Burhanudin Arif Nurnugroho   +2 more
doaj   +1 more source

The cyclopropane ring as a reporter of radical leaving-group reactivity for Ni-catalyzed C(sp3)-O arylation.

Journal of the American Chemical Society, 2020
The ability to understand and predict reactivity is highly important for the development of new reactions. In the context of Ni-catalyzed C(sp3)-O functionalization, we have developed a unique strategy employing activated cyclopropanols to aid the design
L. Mills, John J. Monteith, Gabriel dos Passos Gomes, Alán Aspuru-Guzik, Sophie A. L. Rousseaux   +4 more
semanticscholar   +1 more source

Fields and rings with few types [PDF]

, 2011
Let R be an associative ring with possible extra structure. R is said to be weakly small if there are countably many 1-types over any finite subset of R. It is locally P if the algebraic closure of any finite subset of R has property P.
Cohn, Cédric Milliet, Evans, Herstein, Kim, Krupiński, Milliet, Pillay, Poizat, Poizat, Wagner, Wagner, Wagner, Wagner   +13 more
core   +2 more sources

Largazole Analogues Embodying Radical Changes in the Depsipeptide Ring: Development of a More Selective and Highly Potent Analogue.

Journal of Medicinal Chemistry, 2016
A number of analogues of the marine-derived histone deacetylase inhibitor largazole incorporating major structural changes in the depsipeptide ring were synthesized.
J. Almaliti, A. AL-HAMASHİ, Ahmed T. Negmeldin, Christin L. Hanigan, L. Perera, M. K. Pflum, Robert A. Casero, L. M. V. Tillekeratne   +7 more
semanticscholar   +1 more source

Portraits of Soot Molecules Reveal Pathways to Large Aromatics, Five-/Seven-Membered Rings, and Inception through π-Radical Localization

ACS Nano, 2023
Incipient soot early in the flame was studied by high-resolution atomic force microscopy and scanning tunneling microscopy to resolve the atomic structure and orbital densities of single soot molecules prepared on bilayer NaCl on Cu(111).
Leonard-Alexander Lieske, M. Commodo, Jacob W. Martin, K. Kaiser, Vasiliki Benekou, P. Minutolo, A. D’Anna, L. Gross   +7 more
semanticscholar   +1 more source

Visible Light Photoredox-Catalyzed Decarboxylative Alkylation of 3-Aryl-Oxetanes and Azetidines via Benzylic Tertiary Radicals and Implications of Benzylic Radical Stability

Journal of Organic Chemistry, 2023
Four-membered heterocycles offer exciting potential as small polar motifs in medicinal chemistry but require further methods for incorporation. Photoredox catalysis is a powerful method for the mild generation of alkyl radicals for C–C bond formation ...
Maryne A. J. Dubois, Juan J. Rojas, A. Sterling, H. C. Broderick, Milo A Smith, Andrew J. P. White, P. Miller, Chulho Choi, J. Mousseau, Fernanda Duarte, J. Bull   +10 more
semanticscholar   +1 more source