Results 41 to 50 of about 20,979 (232)
Idempotents and structures of rings
, 2016 We study a ring containing a complete set of orthogonal idempotents as a generalized matrix ring via its Peirce decomposition. We focus on the case where some of the underlying bimodule homomorphisms are zero.
Anh, P. N. +2 more
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Advances in Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Idempotents in Matrix Rings [PDF]
Proceedings of the American Mathematical Society, 1994 Let R be a commutative, von Neumann regular ring and M n ( R ) {M_n}(R) the ring of n × n n \times n matrices over R. What are the idempotents in M n (
Barnett, Christopher, Camillo, Victor
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A method for constructing idempotents in a unital algebra
Учёные записки Казанского университета: Серия Физико-математические наукиA method is proposed for constructing idempotents in a unital algebra 𝒜 using n arbitrary idempotents P1,...,Pn from this algebra. The properties of the resulting idempotents P = P(P1,...,Pn) are investigated; for n = 2 and n = 3, explicit forms of the ...
M. Khadour
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The Relationship between E-Semigroups and R-Semigroups
Journal of Mathematics, 2023 A semigroup is called an E-semigroup (R-semigroup) if the set of all idempotents (the set of all regular elements) forms a subsemigroup. In this paper, we introduce the concept of V-semigroups and establish the relationship between the three classes of ...
Ze Gu
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Some homological aspects of idempotents in idempotented algebras [PDF]
Communications in Algebra, 2020 We study special idempotents (as described by Bushnell and Kutzko) and split idempotents in the context of module and derived categories for idempotented algebras. We then characterize these concepts for path algebras of quivers.
Arnab Mitra, Rishi Vyas
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Can we repudiate ontology altogether?
Noûs, EarlyView.Abstract Ontological nihilists repudiate ontology altogether, maintaining that ontological structure is an unnecessary addition to our theorizing. Recent defenses of the view involve a sophisticated combination of highly expressive but ontologically innocent languages combined with a metaphysics of features—non‐objectual, complete but modifiable states
Christopher J. Masterman
wiley +1 more source
The local geometry of idempotent Schur multipliers
Forum of Mathematics, PiA Schur multiplier is a linear map on matrices which acts on its entries by multiplication with some function, called the symbol. We consider idempotent Schur multipliers, whose symbols are indicator functions of smooth Euclidean domains.
Javier Parcet +2 more
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Semigroups with inverse skeletons and Zappa-Sz'{e}p products [PDF]
Categories and General Algebraic Structures with Applications, 2013 The aim of this paper is to study semigroups possessing $E$-regular elements, where an element $a$ of a semigroup $S$ is {em $E$-regular} if $a$ has an inverse $a^circ$ such that $aa^circ,a^circ a$ lie in $ Esubseteq E(S)$. Where $S$ possesses `enough'
Victoria Gould, Rida-e- Zenab
doaj
Nonnegative Idempotent Matrices [PDF]
Proceedings of the American Mathematical Society, 1974 Elementary ideas in the theory of partially ordered linear algebras are used to describe the structure of nonnegative idempotent matrices. In particular, we obtain a kind of “spectral decomposition” theorem for such matrices.
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