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11 papers · 1 filter
On the Uncertainty Principle for Proper Time and Mass
B. Ram
In [J. Math. Phys. {\bf 40}, 1237 (1999)] Kudaka and Matsumoto derive the uncertainty relation between the rest mass and the proper time , by conside…
Computations with Frobenius powers
Susan M. Hermiller, Irena Swanson
It is an open question whether tight closure commutes with localization in quotients of a polynomial ring in finitely many variables over a field. Katzman showed that tight closure…
Integral closure of ideals in excellent local rings
Donatella Delfino, Irena Swanson
Let R be an excellent local ring, m its maximal ideal and I an ideal. Then there exists a positive integer c such that for all integers n, the integral closure of (I + m^n) is cont…
On the embedded primes of the Mayr-Meyer ideals
Irena Swanson
This paper investigates the doubly exponential ideal membership property of the Mayr-Meyer ideals from the point of view of their associated primes. A doubly-exponential upper boun…
Linear bounds on growth of associated primes
Karen E. Smith, Irena Swanson
We find explicit bounds on the primary components and on the Castelnuovo-Mumford regularity of powers of monomial ideals. We also analyze the primary decompositions of Katzman's ex…
The minimal components of the Mayr-Meyer ideals
Irena Swanson
Mayr and Meyer found ideals (in a polynomial ring in variables over a field and generators of degree at most ) with ideal membership property which is dou…