The Zariski-Riemann space of valuation rings

B Olberding - Commutative Algebra: Expository Papers Dedicated to …, 2021 - Springer
… these maps are fundamental in many applications, they are not … As the results
discussed in this section bear out, the topology … lattice-ordered abelian groups, the Jaffard-Kaplansky-Ohm …

[图书][B] Model theoretic algebra with particular emphasis on fields, rings, modules

CU Jensen - 2022 - taylorfrancis.com
Applications to polynomial and power series rings and their … Abelia.n ca.tegories and
Grothendieck categories … addition and multiplication these equivalence classes form a ring, called …

[PDF][PDF] Stephen S. Shatz and Jean Gallier Department of Mathematics Department of Computer and Information Science University of Pennsylvania Philadelphia, PA …

SS Shatz - 2023 - cis.upenn.edu
… If you use this book in a course or even for self study, I recommend that you tackle the …
Recall that K0(A), the Grothendieck group of A, is the quotient of the free abelian group on …

Bulk-boundary correspondence for disordered free-fermion topological phases

A Alldridge, C Max, MR Zirnbauer - Communications in Mathematical …, 2020 - Springer
… To every ground state, we attach two classes in different … class, using Van Daele’s picture,
along with a boundary class, … to bear upon the problem of bulk and boundary classification of …

Multiplicity and indiscernibility

A Heathcote - Synthese, 2021 - Springer
… Beginning around 1927 group-theoretic methods were brought to bear … That quantum
mechanics had some hard lessons for our … Now we return to the application of this theorem to QM. …

The hull-kernel topology on prime filters in residuated lattices

S Rasouli, A Dehghani - Soft Computing, 2021 - Springer
… Nowadays, what we call the Zariski topology is due to Grothendieck. Establishing a
correspondence between the points of an affine variety and the maximal ideals of its coordinate ring (…

Expressive Power of Infinitary Logic and Absolute co-Hopfianity

M Asgharzadeh, M Golshani, S Shelah - arXiv preprint arXiv:2309.16997, 2023 - arxiv.org
… These groups were first considered by Baer in [2], under … Kaplansky [18] extended this
to modules over a commutative … a result of Ax and Grothendieck indicates that f is bijective, …

The groupoid approach to Leavitt path algebras

SW Rigby - Leavitt Path Algebras and Classical K-Theory, 2020 - Springer
… Besides the ones we have already discussed, there are many interesting classes of algebras
that appear as special cases of Steinberg algebras. These include partial skew group rings …

Singular compactness and definability for -cotorsion and Gorenstein modules

J Šaroch, J Št'ovíček - Selecta Mathematica, 2020 - Springer
… As an application of the powerful tools developed along the way, we give a new description
… of the ring, the class of all Gorenstein flat modules forms the left-hand class of a perfect …

[图书][B] Rings, Modules, Algebras, and Abelian Groups

A Facchini, E Houston, L Salce - 2020 - taylorfrancis.com
… As an application, we describe the lattice of annihilator ideals of the endomorphism ring of a
… Harada, Factor categories with applications to direct decomposition of modules, Lect. Notes …