scholarly journals Lifting zero-dimensional schemes and divided powers

2018 ◽  
Vol 50 (3) ◽  
pp. 449-461 ◽  
Author(s):  
Adrian Langer
Keyword(s):  
Divided Powers

Dangerous Liaisons

2017 ◽  
Author(s):  
András Sajó ◽  
Renáta Uitz
Keyword(s):  
Executive Branch ◽  
Individual Liberty ◽  
Checks And Balances ◽  
Functional Distribution ◽  
Governmental Functions ◽  
Private Actors ◽  
Divided Powers

This chapter examines the idea of separating distinct governmental functions into at least three branches (horizontal separation) as a means to safeguard individual liberty. The three branches of government have different functions: the legislature legislates, the executive branch executes the laws, and the judiciary administers justice. This corresponds to the functional distribution of essential governmental tasks and competences. The chapter explores how governments based on separated (or at least divided) powers work, in a perpetual balancing exercise as a result of the operation of checks and balances. Finally, it discusses independent agencies that are now routinely added to the old constitutional mix of powers and the problem of outsourcing public powers to private actors.

Hamiltonian differential forms over the divided powers algebra

1986 ◽  
Vol 41 (2) ◽  
pp. 205-206
Author(s):  
M I Kuznetsov ◽  
S A Kirillov
Keyword(s):  
Differential Forms ◽  
Divided Powers

Power gunk, or unlimitedly divided powers

2020 ◽  
Author(s):  
Anna Marmodoro ◽  
Andrea Roselli
Keyword(s):  
Divided Powers

High Order Derivations and High Order Lie-Like Elements

1972 ◽  
Vol 24 (6) ◽  
pp. 1154-1163
Author(s):  
S. T. Chang
Keyword(s):  
High Order ◽  
Ground Field ◽  
Divided Powers

We can define high order derivations of an algebra into the ground field by diagrams. Then consider the same diagrams in t he category of coalgebras. By reversing all t he arrows in these diagrams, we come to a new notion - high order Lie-like elements of a coalgebra. These elements are useful in the study of the structure of coalgebras and sequences of divided powers.

A Note on the Representation Type of Pointed Irreducible Coalgebras and Unipotent Algebras

1977 ◽  
Vol 29 (1) ◽  
pp. 220-223
Author(s):  
David Trushin
Keyword(s):  
Finite Sequence ◽  
Representation Type ◽  
Finite Dimensional ◽  
Bounded Representation ◽  
Divided Powers

In this paper the representation type of the class of pointed irreducible coalgebras is studied. We refer the reader to [4] for the basic definitions. A coalgebra is of bounded representation type if there is a bound on the dimension of finite dimensional indecomposable comodules. In Section 1, we show that the representation type is dependent upon the size of the space of primitives. Indeed, a pointed irreducible coalgebra is of bounded type if and only if it is finite dimensional and the space of primitives is onedimensional, i.e. if and only if it is a coalgebra spanned by a finite sequence of divided powers.

scholarly journals Twisted divided powers and applications

2019 ◽  
Author(s):  
Michel Gros ◽  
Bernard Le Stum ◽  
Adolfo Quirós
Keyword(s):  
Divided Powers

scholarly journals Formulae of ı-divided powers in Uq(sl2)

2018 ◽  
Vol 222 (9) ◽  
pp. 2667-2702 ◽  
Author(s):  
Collin Berman ◽  
Weiqiang Wang
Keyword(s):  
Divided Powers
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