Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.08843 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916204623429632 |
|---|---|
| author | Penza, Tomasz Romanowska, Anna B. |
| author_facet | Penza, Tomasz Romanowska, Anna B. |
| contents | The Mal'tsev product of two varieties of the same similarity type is not in general a variety, because it can fail to be closed under homomorphic images. In the previous paper we provided a new sufficient condition for such a product to be a variety. In this paper we extend that result by weakening the assumptions regarding the two varieties. We also explore the various special cases of our new result and provide a number of examples of its application. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08843 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mal'tsev products of varieties, II Penza, Tomasz Romanowska, Anna B. Rings and Algebras 08B05 (Primary) 03C05, 08A05 (Secondary) The Mal'tsev product of two varieties of the same similarity type is not in general a variety, because it can fail to be closed under homomorphic images. In the previous paper we provided a new sufficient condition for such a product to be a variety. In this paper we extend that result by weakening the assumptions regarding the two varieties. We also explore the various special cases of our new result and provide a number of examples of its application. |
| title | Mal'tsev products of varieties, II |
| topic | Rings and Algebras 08B05 (Primary) 03C05, 08A05 (Secondary) |
| url | https://arxiv.org/abs/2404.08843 |