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Commutative Algebra (math.AC)

First steps in brave new commutative algebra

First steps in brave new commutative algebra

... From the expository point of view, we could explain the choice as follows: com- pletion and localization are very basic constructions in commutative algebra, and their formal nature makes them natural ...

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A Primer of Commutative Algebra

A Primer of Commutative Algebra

... A SIDE 13.5. There is a very short proof of Zariski’s lemma when k is uncountable. Let k K be fields. If K is finitely generated as a k-algebra, then its dimension as a k-vector space is countable. On the other ...

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A short history of algebraic statistics

A short history of algebraic statistics

... computational algebra to computational biology similar to the application in statistics in many ...computational commutative algebra in computational biology and includes open problems, some of which ...

21

On nilpotent Lie algebras of derivations with large center

On nilpotent Lie algebras of derivations with large center

... associative commutative algebra over K with identity, without zero ...Lie algebra over K with respect to the operation [D 1 , D 2 ] = D 1 D 2 − D 2 D 1 , D 1 , D 2 ∈ Der ...

10

The Exercise Attitudes, Perceptions, and Perceived Outcomes of Older Minority Women Participating in a Fall Prevention Program

The Exercise Attitudes, Perceptions, and Perceived Outcomes of Older Minority Women Participating in a Fall Prevention Program

... in commutative algebra, such as graded rings and modules, dimension theory and associated ...intersection algebra of principal ideals in a ...

49

Lattices  with  Symmetry

Lattices with Symmetry

... Abstract. For large ranks, there is no good algorithm that decides whether a given lattice has an orthonormal basis. But when the lattice is given with enough symmetry, we can construct a provably deterministic ...

36

2013Stanleys

2013Stanleys

... Abstract. In 1966 Anand-Dumir-Gupta formulated a number of conjectures concerning enumeration of doubly stochastic matrices with given line sum. In 1973 Stanley solved most of these conjectures using techniques from ...

15

Threshold Extension of Gallium Arsenide/Aluminum Gallium Arsenide Terahertz Detectors and Switching in Heterostructures

Threshold Extension of Gallium Arsenide/Aluminum Gallium Arsenide Terahertz Detectors and Switching in Heterostructures

... in commutative algebra and certain topological and combinatorial objects such as simplicial complexes and ...polynomial algebra over a field to a simplicial complex such that the topological nature ...

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Some drifts on posets and its application to fuzzy subalgebras

Some drifts on posets and its application to fuzzy subalgebras

... Fuzzy commutative algebra, presented a fuzzy ideal theory of commutative rings and applied the results to the solution of fuzzy intersection ...

11

Space Time Properties as Quantum Effects  Restrictions Imposed by Grothendieck’s Scheme Theory

Space Time Properties as Quantum Effects Restrictions Imposed by Grothendieck’s Scheme Theory

... a commutative algebra or, in other words, with a set of all prime ...the commutative algebra is the commutative ring of ...the commutative algebra of ...

29

On a relation between de Rham cohomology of $H^1 {(f)}(R)$ and the Koszul cohomology of $\partial(f)

On a relation between de Rham cohomology of $H^1 {(f)}(R)$ and the Koszul cohomology of $\partial(f)

... Lyubeznik, Finiteness properties of local cohomology modules an application of D-modules to commutative algebra, Invent.. Puthenpurakal, de Rham cohomology of local cohomology modules, A[r] ...

16

On the multiplier semigroup of a weighted abelian semigroup

On the multiplier semigroup of a weighted abelian semigroup

... Banach algebra A is without order [9] if a ∈ A and aA = {0} or Aa = {0} implies a = ...Banach algebra without order, then A is commutative if and only if M (A) is a maximal commutative ...

10

Vol 3, No 7 (2012)

Vol 3, No 7 (2012)

... a commutative Banach algebra under the supremum norm and is shown that the space of all real valued Quasicontinuous functions is a closed subalgebra of this Banach ...

7

Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case

Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring II, Quasilocal Case

... Visweswaran, Planarity of a spanning subgraph of the intersection graph of ideals of a commutative ring I, nonquasilocal case, Algebra Discrete Math. 26 (2018), 130–143[r] ...

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Arens regularity and derivations of Hilbert modules with the certain product

Arens regularity and derivations of Hilbert modules with the certain product

... the Hilbert spaces are reflexive, so the topological dual of C(X, H) is weakly sequentially complete, therefore by [1,Theorem 4.2] we have for all x 0 ∈ E 0 the bounded linear mapping a 7−→ π l 0 (x 0 , a) from A to E 0 ...

10

Ore Extensions over ($\sigma, \delta$)-Rings

Ore Extensions over ($\sigma, \delta$)-Rings

... Theorem 4: Let R be a Noetherian, integral domain which is also an algebra over Q. Let σ be an automorphism of R and δ a σ-derivation of R such that R is a (σ, δ)-ring and δ(P(R)) ⊆ P(R). Let P ∈ M in.S pec(R) be ...

7

Jordan automorphisms, Jordan derivations of generalized
triangular matrix algebra

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra

... In this paper, we consider linear operators on a class of algebras of the form ᐁ; specifi- cally, Jordan derivations and Jordan automorphisms. M is assumed to be faithful as a left A-module as well as a right B-module. ...

8

Homomorphism Weak amenability of certain Banach algebras

Homomorphism Weak amenability of certain Banach algebras

... The derivation D is inner if it is of the form a 7−→ a.x − x.a for some x ∈ X. A Banach algebra A is called weakly amenable if every continuous derivation D : A −→ A ∗ is inner. The concept of weak amenability was ...

11

The Structure of Pseudo-BF /BF*-algebra

The Structure of Pseudo-BF /BF*-algebra

... and commutative- pseudo-BE-algebra and proved that the class of commutative-pseudo-BE-algebra and the class of commutative-pseudo-BCK -algebra are ...

15

Derived localisation of algebras and modules

Derived localisation of algebras and modules

... by contrast, is to establish Theorem 4.26 in full generality, without any restrictions on S, and then appeal to the theorem in developing the theory of Ore localisation in case S is an Ore set. We begin with an account ...

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