[图书][B] Invariance of Modules under Automorphisms of their Envelopes and Covers

AK Srivastava, A Tuganbaev, PAG Asensio - 2021 - books.google.com
… & SR SIMANCA Hyperbolic geometry and applications in quantum chaos and cosmology, J.
… exchange property and also that they provide a new class of clean modules. Soon after this, …

Schanuel's lemma for exact categories

M Mathieu, M Rosbotham - Complex Analysis and Operator Theory, 2022 - Springer
… and category theory. It appears to have come about as a response to a question by Kaplansky
epimorphisms in the class \(\mathscr {P}\) can be obtained in any exact category with exact …

The continuum of the surreal numbers revisited. The surreal numbers defined through transfinite Cauchy fundamental sequences

KE Kyritsis - arXiv preprint arXiv:2110.05237, 2021 - arxiv.org
… theory we suggest direct applications in the physical sciences. … The Grothendieck groups
of w(a) for both +, and coincide, … field (again as a class of ordered pairs) such classes that are …

[图书][B] Rings with polynomial identities and finite dimensional representations of algebras

E Aljadeff, A Giambruno, C Procesi, A Regev - 2020 - books.google.com
… sic laws that we learn at school as the commutative, associative… This part uses some nontrivial
analytic tools coming from … the basic structure theorem of Kaplansky (Theorem 10.1.8) can …

The trascendence of Kac-Moody algebras

D Fernández-Ternero, J Núñez-Valdés - Filomat, 2021 - doiserbia.nb.rs
… Kac-Moody algebras and their applications, this paper aims to … algebras which in many
respects bear a closer relation to Lie … decategorification is the Grothendieck group construction in …

Homogeneity of zero-divisors, units and colon ideals in a graded ring

A Tarizadeh - arXiv preprint arXiv:2108.10235, 2021 - arxiv.org
applications of graded rings which appear in commutative algebra and algebraic geometry.
… by totally ordered abelian groups. As an example, the Grothendieck group of the additive …

The Right Angled Artin Group Functor as a Categorical Embedding

C Grossack - arXiv preprint arXiv:2309.06614, 2023 - arxiv.org
… Our proof uses some category theory that might not be familiar … if category theoretic techniques
can be brought to bear on … generated subgroups of mapping class groups. Geometric and …

Split objects with respect to a fully invariant short exact sequence in abelian categories

S Crivei, DK Tütüncü, R Tribak - Rendiconti del Seminario Matematico …, 2022 - ems.press
… rings, Baer rings, and von Neumann regular rings. … [19], Kaplansky [21], Năstăsescu and
Torrecillas [29], or Teply [36]). … spectral categories, locally finitely generated Grothendieck

Unit lifting morphisms

MA Özarslan, AÇ Özcan - Expositiones Mathematicae, 2022 - Elsevier
… This result gives rise to the study of a new class of rings, which we call weakly semilocal …
in the construction of the spectral category Spec − C of an arbitrary Grothendieck category C . …

[图书][B] Higher index theory

R Willett, G Yu - 2020 - books.google.com
… , which is where the main applications of the theory developed in … give rise to K-theory
classes, and the flavour thus becomes … Having done with this, Section 1.4 uses the commutative …