THE INTEGRAL CLOSURE OF MODULES, BUCHSBAUM–RIM MULTIPLICITIES AND NEWTON POLYHEDRA

2004 ◽  
Vol 69 (02) ◽  
pp. 407-427 ◽  
Author(s):  
CARLES BIVIÀ-AUSINA
Keyword(s):  
Integral Closure ◽  
Newton Polyhedra

scholarly journals ANALYTIC SPREAD AND INTEGRAL CLOSURE OF INTEGRALLY DECOMPOSABLE MODULES

2020 ◽  
pp. 1-26
Author(s):  
CARLES BIVIÀ-AUSINA ◽  
JONATHAN MONTAÑO
Keyword(s):  
Computer Algebra ◽  
Maximal Rank ◽  
Integral Closure ◽  
Simple Computer ◽  
Direct Sum ◽  
Newton Polyhedra ◽  
Analytic Spread ◽  
The Family

Abstract We relate the analytic spread of a module expressed as the direct sum of two submodules with the analytic spread of its components. We also study a class of submodules whose integral closure can be expressed in terms of the integral closure of its row ideals, and therefore can be obtained by means of a simple computer algebra procedure. In particular, we analyze a class of modules, not necessarily of maximal rank, whose integral closure is determined by the family of Newton polyhedra of their row ideals.

WeaklyGK-Perfect and Integral Closure of Ideals

2008 ◽  
Vol 36 (12) ◽  
pp. 4500-4508
Author(s):  
J. Azami ◽  
R. Naghipour ◽  
B. Vakili
Keyword(s):  
Integral Closure

Integral closure of a quartic extension

2014 ◽  
Vol 58 (3) ◽  
pp. 553-564 ◽  
Author(s):  
ShengLi Tan ◽  
DaJun Xie
Keyword(s):  
Integral Closure

scholarly journals Integral Closure of a Ring Whose Regular Ideals Are Finitely Generated

2002 ◽  
Vol 251 (2) ◽  
pp. 529-537 ◽  
Author(s):  
Gyu Whan Chang ◽  
Byung Gyun Kang
Keyword(s):  
Integral Closure ◽  
Finitely Generated

scholarly journals Rational separability of the integral closure

2009 ◽  
Vol 129 (10) ◽  
pp. 2227-2259
Author(s):  
Alexandra Shlapentokh
Keyword(s):  
Integral Closure
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