I can’t find any papers studying the Hochschild cohomology ring $H^*(B, B)$, where $B$ is a boolean ring, so I was wondering if this is known.
2025-01-13 07:37:04.1736753824
Hochschild cohomology of a boolean ring
82 Views Asked by Mike J. https://math.techqa.club/user/mike-j/detail AtRelated Questions in RING-THEORY
- $x=(0,\overline{1})$ and $y=(0,\overline{2})$ generate the same ideal in $R=\mathbb{Z}\times\mathbb{Z}/5\mathbb{Z}$
- Show that the quotient ring $R/\mathcal{I}$ is a field.
- Prime ideals $\mathfrak{p} \supset \mathfrak{a}$ are finite in one-dimensional Noetherian domain
- Constructing finite fields of order $8$ and $27$ or any non-prime
- How do I show that the unit group of $\mathbb{Z}\times\mathbb{Z}/5\mathbb{Z}$ is a cyclic group of order 10?
- What is a cubic ideal/partial cubic ideal?
- Surjective ring homomorphism from polynomial to complex numbers
- Generalization of nilpotency in ring theory?
- Give an example of an injective ring homomorphism $f : R \to S$ where $R$ is commutative, but $S$ is not commutative
- Is the ring of formal power series in infinitely many variables a unique factorization domain?
Related Questions in REFERENCE-REQUEST
- Expository article on the Hilbert transform?
- Interesting areas of study in point-set topology
- Complete Reference on Mathematics at the senior undergraduate or graduate level
- What are the prerequisites for "Systems of Logic Based on Ordinals (1938)" by Turing?
- Finite Limits, Exponentiation and Sub-Object Classifiers imply Finite Co-Limits
- Application of GRR in number theory
- What are the exact critera for a CW-complex being a polytope?
- Seeking more information regarding the function $\varphi(n) = \sum_{i=1}^n \left[\binom{n}{i} \prod_{j=1}^i(i-j+1)^{2^j}\right].$
- Reference for $a^n+b^n+c^n$ has bounded distinct prime factors iff $a=b=c$
- Tensor product of two fields
Related Questions in HOMOLOGICAL-ALGEBRA
- Are there right-deformations for abelian sheaves?
- Obstruction to be conjugated by an automorphism for subgroups of an abelian group
- Galois cohomologies of an elliptic curve
- Generalization for Leray Hirsch theorem for Principal $G$-bundle
- Projective resolutions of modules in a short exact sequence (Dummit & Foote Proposition 17.1.7)
- Quasi isomorphism and pullback
- Can we produce a long exact sequence in cohomology from more than just short exact sequences?
- Affine smooth variety has only trivial first-order deformations
- What is an additive functor?
- Compute $\text{Tor}^R_n(M,M)$ in the following specific case.
Related Questions in BOOLEAN-ALGEBRA
- Boolean algebra: How does the imply operator work?
- Boolean Simplification questions
- boolean algebra simplification solving
- Is canonical SOP/POS form for a boolean expression unique?
- Minimizing using a Karnaugh map when given as subscripts F4,2655
- Simplifying a Boolean expression for two-level NAND gate circuits
- how to determine if formula satisfies without creating a truth table
- Prove that the set {→, ¬} is functionally complete
- proof of functional completeness of logical operators
- functional completeness of $\{\to\}$
Related Questions in HOCHSCHILD-COHOMOLOGY
- Hochschild homology: change of ground ring
- Hochschild homology of dgas with nontrivial differential
- Hochschild cohomology of a smooth manifold: a sheaf?
- Many definitions of Hochschild homology and cyclic homology
- Isomorphism of square zero extension algebras related to Hochschild cohomology
- Relation between Hochschild homology and cohomology
- Rigidity from vanishing cohomology
- Hochschild homology - motivation and examples
- Morita-invariance of Hochschild (co)homology.
- Describe the Hochschild $2$-cocycle which deforms $\mathbb{C}[x,y]$ into Weyl algebra $A_1$.
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Refuting the Anti-Cantor Cranks
- Find $E[XY|Y+Z=1 ]$
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- What are the Implications of having VΩ as a model for a theory?
- How do we know that the number $1$ is not equal to the number $-1$?
- Defining a Galois Field based on primitive element versus polynomial?
- Is computer science a branch of mathematics?
- Can't find the relationship between two columns of numbers. Please Help
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
- Alternative way of expressing a quantied statement with "Some"
Popular # Hahtags
real-analysis
calculus
linear-algebra
probability
abstract-algebra
integration
sequences-and-series
combinatorics
general-topology
matrices
functional-analysis
complex-analysis
geometry
group-theory
algebra-precalculus
probability-theory
ordinary-differential-equations
limits
analysis
number-theory
measure-theory
elementary-number-theory
statistics
multivariable-calculus
functions
derivatives
discrete-mathematics
differential-geometry
inequality
trigonometry
Popular Questions
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- How to find mean and median from histogram
- Difference between "≈", "≃", and "≅"
- Easy way of memorizing values of sine, cosine, and tangent
- How to calculate the intersection of two planes?
- What does "∈" mean?
- If you roll a fair six sided die twice, what's the probability that you get the same number both times?
- Probability of getting exactly 2 heads in 3 coins tossed with order not important?
- Fourier transform for dummies
- Limit of $(1+ x/n)^n$ when $n$ tends to infinity