Question

What is the largest variety of ring-like algebras in which the additive identity is absorbing, without it being an axiom?

score 75 · Answer 1 · 2020-01-05 14:43:31

What is the largest variety of ring-like algebras in which the additive identity is absorbing, without it being an axiom?

score 226 · Answer 2 · 2026-03-27 16:55:12

226

Views

Does this "reverse distributivity" ever occur: $a \circ (b\times c) = (a \times b) \circ (a \times c)$?

Published on 27 Mar 2026 - 16:55

score 151 · Answer 3 · 2020-01-12 17:28:33

151

Views

The definition of $K$-free algebras

Published on 12 Jan 2020 - 17:28

score 100 · Answer 4 · 2020-01-13 23:34:38

100

Views

If a universal sentence is satisfied by all groups $(\mathbb{Z}_n,+_n,0)$, how to prove that $(\mathbb{Z},+,0)$ satisfies this sentence?

Published on 13 Jan 2020 - 23:34

score 78 · Answer 5 · 2020-01-14 11:37:30

78

Views

Do there exist two non-isomorphic finite groups $G$ and $H$ such that $|G| = |H|$ and $Pv(G) = Pv(H)$?

Published on 14 Jan 2020 - 11:37

score 57 · Answer 6 · 2020-01-15 09:35:34

57

Views

How many distinct clones can be generated using functions from $P_2(n)$?

Published on 15 Jan 2020 - 9:35

score 153 · Answer 7 · 2026-02-23 03:28:30

153

Views

Mac Lane: Forgetful functor of Algebraic Systems to $\textbf{Set}$

Published on 23 Feb 2026 - 3:28

score 79 · Answer 8 · 2026-02-23 03:57:00

79

Views

Do there exist characteristic subgroups, that are not quasiverbal?

Published on 23 Feb 2026 - 3:57

score 67 · Answer 9 · 2020-01-29 00:55:28

67

Views

Finite equational basis for the identities of the field of real numbers

Published on 29 Jan 2020 - 0:55

score 233 · Answer 10 · 2020-02-07 18:59:25

233

Views

What makes two things (or two representations of a thing) "the same"?

Published on 07 Feb 2020 - 18:59

score 208 · Answer 11 · 2020-02-09 02:43:02

208

Views

Is the class of all equivalence relations a lattice?

Published on 09 Feb 2020 - 2:43

score 130 · Answer 12 · 2020-02-12 23:44:42

130

Views

Do Jónsson-Tarski algebras form a Schreier variety?

Published on 12 Feb 2020 - 23:44

score 166 · Answer 13 · 2020-02-13 17:00:32

166

Views

Is there any structure in general on the $p$th cohomotopy set?

Published on 13 Feb 2020 - 17:00

score 118 · Answer 14 · 2026-03-25 14:33:16

118

Views

Are "free products" just coproducts in categories admitting presentations of objects (generators and relators)?

Published on 25 Mar 2026 - 14:33

score 97 · Answer 15 · 2026-03-25 19:56:53

97

Views

Property of normal subloops

Published on 25 Mar 2026 - 19:56

List Question

What is the largest variety of ring-like algebras in which the additive identity is absorbing, without it being an axiom?

Does this "reverse distributivity" ever occur: $a \circ (b\times c) = (a \times b) \circ (a \times c)$?

The definition of $K$-free algebras

If a universal sentence is satisfied by all groups $(\mathbb{Z}_n,+_n,0)$, how to prove that $(\mathbb{Z},+,0)$ satisfies this sentence?

Do there exist two non-isomorphic finite groups $G$ and $H$ such that $|G| = |H|$ and $Pv(G) = Pv(H)$?

How many distinct clones can be generated using functions from $P_2(n)$?

Mac Lane: Forgetful functor of Algebraic Systems to $\textbf{Set}$

Do there exist characteristic subgroups, that are not quasiverbal?

Finite equational basis for the identities of the field of real numbers

What makes two things (or two representations of a thing) "the same"?

Is the class of all equivalence relations a lattice?

Do Jónsson-Tarski algebras form a Schreier variety?

Is there any structure in general on the $p$th cohomotopy set?

Are "free products" just coproducts in categories admitting presentations of objects (generators and relators)?

Property of normal subloops

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