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The fibred product near-rings and near-ring modules for certain categories
| Content Provider | Scilit |
|---|---|
| Author | Clay, James R. |
| Copyright Year | 1980 |
| Description | In somes categories, there are structures that look very much like groups, and they usually are. These structures are called group-objects and were first studied by Eckmann and Hilton (1). If our category has an object T such that hom(X, T)= ${t_{x}$}, a singleton, for each object X ∈ Ob , T is called a terminal object. Our category must have products; i.e. for $A_{1}$,…, $A_{n}$ ∈;. Ob , there is an object $A_{1}$ × … × $A_{n}$ ∈ Ob and morphisms $p_{i}$: $A_{1}$ × … × $A_{n}$ → $A_{i}$ so that if $f_{i}$: X → $A_{i}$, i = 1, 2, …, n, are morphisms of , then there is a unique morphism $[f_{1}$, …, $f_{n}$]: X → $A_{1}$ × … × $A_{n}$ such that for i = 1, 2, …, n. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/036F07871055BAE140BF60F0DA63B00C/S0013091500003552a.pdf/div-class-title-the-fibred-product-near-rings-and-near-ring-modules-for-certain-categories-div.pdf |
| Ending Page | 25 |
| Page Count | 11 |
| Starting Page | 15 |
| ISSN | 00130915 |
| e-ISSN | 14643839 |
| DOI | 10.1017/s0013091500003552 |
| Journal | Proceedings of the Edinburgh Mathematical Society |
| Issue Number | 1 |
| Volume Number | 23 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1980-02-01 |
| Access Restriction | Open |
| Subject Keyword | Proceedings of the Edinburgh Mathematical Society History and Philosophy of Science Somes Categories |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
