Life defined

The complexity of life: can life be simply defined?

The Life Cycle Model with Recursive Utility: Defined benefit vs defined contribution

We analyze optimal consumption and portfolio choice when the agent takes the market as given, with applications to pension insurance. First, we recall the results for the conventional additive and separable expected utility model. We explain why this model is not viable in a temporal context. As a consequence, when confronted with real data this theory meets with several conflicting implication...

Algebras defined by homomorphisms

Let $mathcal{R}$ be a  commutative ring with identity, let $A$ and $B$ be two $mathcal{R}$-algebras and $varphi:Blongrightarrow A$ be an $mathcal{R}$-additive algebra homomorphism. We introduce a new algebra $Atimes_varphi B$, and give some basic properties of this algebra. Generalized $2$-cocycle derivations on $Atimes_varphi B$ are studied. Accordingly, $Atimes_varphi B$ is considered from th...

algebras defined by homomorphisms

let $mathcal{r}$ be a  commutative ring with identity, let $a$ and $b$ be two $mathcal{r}$-algebras and $varphi:blongrightarrow a$ be an $mathcal{r}$-additive algebra homomorphism. we introduce a new algebra $atimes_varphi b$, and give some basic properties of this algebra. generalized $2$-cocycle derivations on $atimes_varphi b$ are studied. accordingly, $atimes_varphi b$ is considered from th...

Mitochondrial Haplogroups and Well Defined Populations