Ideal vs. Non-ideal Theory: A Conceptual Map

Non-ideal memristors for a non-ideal world

Memristors have pinched hysteresis loops in the V − I plane. Ideal memristors are everywhere non-linear, cross at zero and are rotationally symmetric. In this paper we extend memristor theory to produce different types of non-ideality and find that: including a background current (such as an ionic current) moves the crossing point away from zero; including a degradation resistance (that increas...

Theory of Non - Lc Ideal Sheaves

We introduce the notion of non-lc ideal sheaves. It is an analogue of the notion of multiplier ideal sheaves. We establish the restriction theorem, which seems to be the most important property of non-lc ideal sheaves.

The Arrow of Care Map: Abstract Care in Ideal Theory

This paper advances a framework to conceptualize societal caregiving arrangements abstractly. It is abstract in that it brackets the meaning of our particular relationships. This framework, which I call the arrow of care map, is a descriptive tracking model that is a necessary component of a theory of justice, but it is not a normative prescription in itself. The basic idea of the map is then m...

ideal theory in  -semihyperrings

the concept of  -semihyperring is a generalization of semiring, a generalization of semihyperring and a generalization of      -semiring. since the theory of ideals plays an important role in the theory of  - semihyperring, in this paper, we will make an intensive study of the notions of noetherian, artinian, simple and   regular      -semihyperrings. the bulk of this paper...

Multiplicative Ideal Theory