[HTML][HTML] Regularity in topological modules

FJ Garcia-Pacheco - Mathematics, 2020 - mdpi.com
On the other hand, topological regularity of closed balls and … of isometric representations of
groups on normed modules [21… on a normed module over an absolutely valued ring). Later, …

A note on regularity conditions on Leavitt path algebras over commutative rings

S Aljohani - … Conference on Medical Imaging, Electronic …, 2024 - spiedigitallibrary.org
… As stated in the title, these algebras were developed as rings without the invariant basis
number property. The modern concept of Leavitt path algebras, first introduced in 2004, can …

Perspectivity and von Neumann regularity

D Khurana, PP Nielsen - Communications in Algebra, 2021 - Taylor & Francis
… Our goal is to reinterpret information about regularity assumptions as conditions on the …
Just as for IC rings, we can characterize the strongly IC rings in terms of an assumption on

The Regularity Conjecture for prime ideals in polynomial rings

J McCullough, I Peeva - EMS Surveys in Mathematical Sciences, 2021 - ems.press
… presents a survey on recent developments on regularity of prime ideals in polynomial rings.
… For simplicity, in this paper we focus on regularity bounds for prime ideals – the ideals that …

Cohomologically full rings

H Dao, A De Stefani, L Ma - … Mathematics Research Notices, 2021 - academic.oup.com
… establish a strong bound on regularity of a homogeneous ideal |$I$| in a polynomial ring |$S$| …
(6) Cohomologically full standard graded |$k$|-algebras that are Cohen–Macaulay on the …

Regularity of spectral stacks and discreteness of weight-hearts

V Sosnilo - The Quarterly Journal of Mathematics, 2022 - academic.oup.com
regularity in the context of connective ring spectra and spectral stacks. Parallel to that, we
construct a weight structure on the category of compact quasi-coherent sheaves on … acting on R…

Stationary black holes and light rings

PVP Cunha, CAR Herdeiro - Physical Review Letters, 2020 - APS
… is fairly constrained if we require regularity (eg, finite Ricci scalar … Our theorem puts on a firm
ground the hitherto unproved … Finally, some of our assumptions are implied if one focuses on

Regularity and cohomology of Pfaffian thickenings

M Perlman - Journal of Commutative Algebra, 2021 - projecteuclid.org
regularity is in the case of large powers and symbolic powers of a Pfaffian ideal. Our theorem
on regularity … As before, S will denote the ring of polynomial functions on the space of n ×n …

Regularity of Sn-invariant monomial ideals

C Raicu - Journal of Combinatorial Theory, Series A, 2021 - Elsevier
ring S in n variables, we consider the natural action of the symmetric group S n on S by … / I
, S ) , and use this to describe the projective dimension and regularity of I. We classify the S n -…

Rings close to periodic with applications to matrix, endomorphism and group rings

AN Abyzov, R Barati, PV Danchev - Communications in Algebra, 2024 - Taylor & Francis
rings; recall that a ring R is said to be π-UU if, for each invertible element u ∈ U ( R ) , the unit
group of R, there exists an integer i > 0 which depends on … -regularity of rings, respectively. …