Results 91 to 100 of about 59,280 (204)
Which singular tangent bundles are isomorphic?
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley +1 more source
An Introduction to i-Commutative Rings
In this paper, we introduce a new class of rings, called i-commutative rings, by extending the concept of commutative-like rings using idempotent elements.
Muhammad Saad +3 more
doaj +1 more source
Some homological properties of skew PBW extensions arising in non-commutative algebraic geometry
In this short paper we study for the skew PBW (Poincar-Birkhoff-Witt) extensions some homological properties arising in non-commutative algebraic geometry, namely, Auslander-Gorenstein regularity, Cohen-Macaulayness and strongly noetherianity.
Lezama Oswaldo
doaj +1 more source
If R is a commutative artinian ring, then it is known that every faithful R-module is balanced (i.e. has the double centralizer property) if and only if R is a quasi-Frobenius ring. In this note it is shown that the assumption on R to be artinian can be replaced by the weaker condition that R ist noetherian.
openaire +2 more sources
Commutative Γ-rings do not model all commutative ring spectra [PDF]
The author proves the theorem in the title. That is, it is well-known that \(\Gamma\)-spaces model all connective spectra in algebraic topology. It was proved in [\textit{M. A. Mandell, J. P. May, S. Schwede} and \textit{B. Shipley}, Proc. Lond. Math. Soc., III. Ser. 82, No.
openaire +3 more sources
On cohomology of locally profinite sets
Abstract We construct a locally profinite set of cardinality ℵω$\aleph _{\omega }$ with infinitely many first cohomology classes of which any distinct finite product does not vanish. Building on this, we construct the first example of a nondescendable faithfully flat map between commutative rings of cardinality ℵω$\aleph _{\omega }$ within Zermelo ...
Ko Aoki
wiley +1 more source
Commutative monoid rings as Hilbert rings [PDF]
Assume that R is a commutative unitary ring and that S is a cancellative monoid with quotient group G. Let \(\alpha\) be the torsion-free rank of G and let \(X=\{X_ i\}\) be a set of \(\alpha\) indeterminates over R. We prove that the monoid ring R[S], the group ring R[G], and the polynomial ring R[X] are simultaneously Hilbert rings. In particular, if
openaire +2 more sources
On Non-Commutative Multi-Rings with Involution
The primary motivation for this work is to develop the concept of Marshall’s quotient applicable to non-commutative multi-rings endowed with involution, expanding upon the main ideas of the classical case—commutative and without involution—presented in ...
Kaique M. A. Roberto +2 more
doaj +1 more source
A note on co-maximal graphs of commutative rings
Let R be a commutative ring with unity. The co-maximal graph Γ ( R ) is the graph with vertex set R and two vertices a and b are adjacent if R a + R b = R .
Deepa Sinha, Anita Kumari Rao
doaj +1 more source
On Commutative Reduced Baer Rings [PDF]
It is shown that a commutative reduced ring R is a Baer ring if and only if it is a CS-ring; if and only if every dense subset of Spec (R) containing Max (R) is an extremally disconnected space; if and only if every non-zero ideal of R is essential in a ...
doaj

