scholarly journals Neural Ring Homomorphisms and Maps Between Neural Codes

2020 ◽  
pp. 163-180
Author(s):  
Carina Pamela Curto ◽  
Nora Youngs
Keyword(s):  
Neural Codes ◽  
Ring Homomorphisms

Our understanding of neural codes rests on Shannon's foundations

2019 ◽  
Vol 42 ◽  
Author(s):  
Charles R. Gallistel
Keyword(s):  
Brain Structure ◽  
Neural Tissue ◽  
Neural Codes ◽  
Flow Of Information

Abstract Shannon's theory lays the foundation for understanding the flow of information from world into brain: There must be a set of possible messages. Brain structure determines what they are. Many messages convey quantitative facts (distances, directions, durations, etc.). It is impossible to consider how neural tissue processes these numbers without first considering how it encodes them.

scholarly journals Cohen–Macaulay Properties of Ring Homomorphisms

1998 ◽  
Vol 133 (1) ◽  
pp. 54-95 ◽  
Author(s):  
Luchezar L. Avramov ◽  
Hans-Bjørn Foxby
Keyword(s):  
Ring Homomorphisms

When do all ring homomorphisms depend on only one co-ordinate?

1985 ◽  
Vol 45 (3) ◽  
pp. 223-228 ◽  
Author(s):  
R. B�rger ◽  
M. Rajagopalan
Keyword(s):  
Ring Homomorphisms

scholarly journals Green's relations for regular elements of sandwich semigroups, II; semigroups of continuous functions

1978 ◽  
Vol 25 (1) ◽  
pp. 45-65 ◽  
Author(s):  
K. D. Magill ◽  
S. Subbiah
Keyword(s):  
Continuous Functions ◽  
Maximal Subgroups ◽  
Green’S Relations ◽  
Boolean Ring ◽  
Regular Elements ◽  
Ring Homomorphisms ◽  
Special Cases ◽  
Green's Relations ◽  
Sandwich Semigroup ◽  
Sandwich Semigroups

AbstractA sandwich semigroup of continuous functions consists of continuous functions with domains all in some space X and ranges all in some space Y with multiplication defined by fg = foαog where α is a fixed continuous function from a subspace of Y into X. These semigroups include, as special cases, a number of semigroups previously studied by various people. In this paper, we characterize the regular elements of such semigroups and we completely determine Green's relations for the regular elements. We also determine the maximal subgroups and, finally, we apply some of these results to semigroups of Boolean ring homomorphisms.

Some facets of Horn covarieties in a category

2018 ◽  
Vol 17 (05) ◽  
pp. 1850097
Author(s):  
Maurice Kianpi ◽  
Celestin Nkuimi-Jugnia
Keyword(s):  
Ring Homomorphisms

Considering co-well-powered and cocomplete categories, replacing closure under taking quotients by closure under taking strong ones and doing similarly for closure under domains of epis, we get what we call weakly behavioral weak (Horn, quasi) covarieties and characterize minimal such classes as far as Horn covarieties are concerned. This enables us to define atomic (weakly) behavioral (weak) quasi covarieties and covarieties and characterize them too. We show that minimal (weakly) behavioral (weak) Horn covarieties form a basis of open classes for a topology on the class of objects of the category for which open classes include all (weakly) behavioral (weak) Horn covarieties. Dualizing these results, we characterize minimal classes of objects closed under domains and codomains of (strong) monos and nonempty products and some variations thereof and investigate the particular case of the category of rings with unit and unit-preserving ring homomorphisms.

Frobeniusk-characters andn-ring homomorphisms

1997 ◽  
Vol 52 (2) ◽  
pp. 398-399 ◽  
Author(s):  
V M Bukhshtaber ◽  
E G Rees
Keyword(s):  
Ring Homomorphisms

scholarly journals Bass series of local ring homomorphisms of finite flat dimension

1993 ◽  
Vol 335 (2) ◽  
pp. 497-523 ◽  
Author(s):  
Luchezar L. Avramov ◽  
Hans-Bjørn Foxby ◽  
Jack Lescot
Keyword(s):  
Local Ring ◽  
Ring Homomorphisms ◽  
Flat Dimension
Sign in / Sign up

Export Citation Format

Share Document